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Finding the Fourth Proportional to 669.47, 1,002.15 and 538.25

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Solution

The fourth proportional to 669.47, 1,002.15 and 538.25 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 1,002.15 = 538.25 : x
  2. Step 2: Convert to fraction form
    669.47/1,002.15 = 538.25/x
  3. Step 3: Cross multiply
    669.47x = 1,002.15 × 538.25
  4. Step 4: Simplify right side
    669.47x = 539,402.23
  5. Step 5: Solve for x
    x = 539,402.23/669.47
  6. Step 6: Final answer
    x = 805.72

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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.