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Finding the Fourth Proportional to 921.52, 1,382.58 and 614.58

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Solution

The fourth proportional to 921.52, 1,382.58 and 614.58 is: 922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.52 : 1,382.58 = 614.58 : x
  2. Step 2: Convert to fraction form
    921.52/1,382.58 = 614.58/x
  3. Step 3: Cross multiply
    921.52x = 1,382.58 × 614.58
  4. Step 4: Simplify right side
    921.52x = 849,706.02
  5. Step 5: Solve for x
    x = 849,706.02/921.52
  6. Step 6: Final answer
    x = 922.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.