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Finding the Fourth Proportional to 617.39, 924.45 and 509.66

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Solution

The fourth proportional to 617.39, 924.45 and 509.66 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.39 : 924.45 = 509.66 : x
  2. Step 2: Convert to fraction form
    617.39/924.45 = 509.66/x
  3. Step 3: Cross multiply
    617.39x = 924.45 × 509.66
  4. Step 4: Simplify right side
    617.39x = 471,155.19
  5. Step 5: Solve for x
    x = 471,155.19/617.39
  6. Step 6: Final answer
    x = 763.14

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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.