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Finding the Fourth Proportional to 787.29, 1,085.72 and 524.85

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Solution

The fourth proportional to 787.29, 1,085.72 and 524.85 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.29 : 1,085.72 = 524.85 : x
  2. Step 2: Convert to fraction form
    787.29/1,085.72 = 524.85/x
  3. Step 3: Cross multiply
    787.29x = 1,085.72 × 524.85
  4. Step 4: Simplify right side
    787.29x = 569,837.52
  5. Step 5: Solve for x
    x = 569,837.52/787.29
  6. Step 6: Final answer
    x = 723.80

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Why These Related Problems?

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