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Finding the Fourth Proportional to 1,801.13, 2,701.69 and 433.13

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Solution

The fourth proportional to 1,801.13, 2,701.69 and 433.13 is: 649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.13 : 2,701.69 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,801.13/2,701.69 = 433.13/x
  3. Step 3: Cross multiply
    1,801.13x = 2,701.69 × 433.13
  4. Step 4: Simplify right side
    1,801.13x = 1,170,168.40
  5. Step 5: Solve for x
    x = 1,170,168.40/1,801.13
  6. Step 6: Final answer
    x = 649.69

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.