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Finding the Fourth Proportional to 924.24, 1,377.87 and 851.16

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Solution

The fourth proportional to 924.24, 1,377.87 and 851.16 is: 1,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,377.87 = 851.16 : x
  2. Step 2: Convert to fraction form
    924.24/1,377.87 = 851.16/x
  3. Step 3: Cross multiply
    924.24x = 1,377.87 × 851.16
  4. Step 4: Simplify right side
    924.24x = 1,172,787.83
  5. Step 5: Solve for x
    x = 1,172,787.83/924.24
  6. Step 6: Final answer
    x = 1,268.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.