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Finding the Fourth Proportional to 707.43, 1,061.63 and 432.69

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Solution

The fourth proportional to 707.43, 1,061.63 and 432.69 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 1,061.63 = 432.69 : x
  2. Step 2: Convert to fraction form
    707.43/1,061.63 = 432.69/x
  3. Step 3: Cross multiply
    707.43x = 1,061.63 × 432.69
  4. Step 4: Simplify right side
    707.43x = 459,356.68
  5. Step 5: Solve for x
    x = 459,356.68/707.43
  6. Step 6: Final answer
    x = 649.33

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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.