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Finding the Fourth Proportional to 925.23, 1,387.62 and 431.33

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Solution

The fourth proportional to 925.23, 1,387.62 and 431.33 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.23 : 1,387.62 = 431.33 : x
  2. Step 2: Convert to fraction form
    925.23/1,387.62 = 431.33/x
  3. Step 3: Cross multiply
    925.23x = 1,387.62 × 431.33
  4. Step 4: Simplify right side
    925.23x = 598,522.13
  5. Step 5: Solve for x
    x = 598,522.13/925.23
  6. Step 6: Final answer
    x = 646.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.