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Finding the Fourth Proportional to 1,688.38, 2,532.63 and 534.13

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Solution

The fourth proportional to 1,688.38, 2,532.63 and 534.13 is: 801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.38 : 2,532.63 = 534.13 : x
  2. Step 2: Convert to fraction form
    1,688.38/2,532.63 = 534.13/x
  3. Step 3: Cross multiply
    1,688.38x = 2,532.63 × 534.13
  4. Step 4: Simplify right side
    1,688.38x = 1,352,753.66
  5. Step 5: Solve for x
    x = 1,352,753.66/1,688.38
  6. Step 6: Final answer
    x = 801.21

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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.