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Finding the Fourth Proportional to 1,320.67, 1,981.01 and 346.77

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Solution

The fourth proportional to 1,320.67, 1,981.01 and 346.77 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.67 : 1,981.01 = 346.77 : x
  2. Step 2: Convert to fraction form
    1,320.67/1,981.01 = 346.77/x
  3. Step 3: Cross multiply
    1,320.67x = 1,981.01 × 346.77
  4. Step 4: Simplify right side
    1,320.67x = 686,954.40
  5. Step 5: Solve for x
    x = 686,954.40/1,320.67
  6. Step 6: Final answer
    x = 520.16

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.