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Finding the Fourth Proportional to 914.43, 1,371.88 and 524.87

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Solution

The fourth proportional to 914.43, 1,371.88 and 524.87 is: 787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.43 : 1,371.88 = 524.87 : x
  2. Step 2: Convert to fraction form
    914.43/1,371.88 = 524.87/x
  3. Step 3: Cross multiply
    914.43x = 1,371.88 × 524.87
  4. Step 4: Simplify right side
    914.43x = 720,058.66
  5. Step 5: Solve for x
    x = 720,058.66/914.43
  6. Step 6: Final answer
    x = 787.44

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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.