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Finding the Fourth Proportional to 924.74, 1,385.75 and 615.47

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Solution

The fourth proportional to 924.74, 1,385.75 and 615.47 is: 922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,385.75 = 615.47 : x
  2. Step 2: Convert to fraction form
    924.74/1,385.75 = 615.47/x
  3. Step 3: Cross multiply
    924.74x = 1,385.75 × 615.47
  4. Step 4: Simplify right side
    924.74x = 852,889.53
  5. Step 5: Solve for x
    x = 852,889.53/924.74
  6. Step 6: Final answer
    x = 922.30

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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.