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Finding the Fourth Proportional to 924.71, 1,275.68 and 609.57

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Solution

The fourth proportional to 924.71, 1,275.68 and 609.57 is: 840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.71 : 1,275.68 = 609.57 : x
  2. Step 2: Convert to fraction form
    924.71/1,275.68 = 609.57/x
  3. Step 3: Cross multiply
    924.71x = 1,275.68 × 609.57
  4. Step 4: Simplify right side
    924.71x = 777,617.78
  5. Step 5: Solve for x
    x = 777,617.78/924.71
  6. Step 6: Final answer
    x = 840.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.