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Finding the Fourth Proportional to 1,364.76, 1,882.92 and 775.14

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Solution

The fourth proportional to 1,364.76, 1,882.92 and 775.14 is: 1,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 1,882.92 = 775.14 : x
  2. Step 2: Convert to fraction form
    1,364.76/1,882.92 = 775.14/x
  3. Step 3: Cross multiply
    1,364.76x = 1,882.92 × 775.14
  4. Step 4: Simplify right side
    1,364.76x = 1,459,526.61
  5. Step 5: Solve for x
    x = 1,459,526.61/1,364.76
  6. Step 6: Final answer
    x = 1,069.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.