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Finding the Fourth Proportional to 916.92, 1,374.57 and 506.25

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Solution

The fourth proportional to 916.92, 1,374.57 and 506.25 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.92 : 1,374.57 = 506.25 : x
  2. Step 2: Convert to fraction form
    916.92/1,374.57 = 506.25/x
  3. Step 3: Cross multiply
    916.92x = 1,374.57 × 506.25
  4. Step 4: Simplify right side
    916.92x = 695,876.06
  5. Step 5: Solve for x
    x = 695,876.06/916.92
  6. Step 6: Final answer
    x = 758.93

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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.