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Finding the Fourth Proportional to 731.07, 1,008.18 and 468.63

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Solution

The fourth proportional to 731.07, 1,008.18 and 468.63 is: 646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.07 : 1,008.18 = 468.63 : x
  2. Step 2: Convert to fraction form
    731.07/1,008.18 = 468.63/x
  3. Step 3: Cross multiply
    731.07x = 1,008.18 × 468.63
  4. Step 4: Simplify right side
    731.07x = 472,463.39
  5. Step 5: Solve for x
    x = 472,463.39/731.07
  6. Step 6: Final answer
    x = 646.26

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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.