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Finding the Fourth Proportional to 1,096.17, 1,512.84 and 624.24

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Solution

The fourth proportional to 1,096.17, 1,512.84 and 624.24 is: 861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.17 : 1,512.84 = 624.24 : x
  2. Step 2: Convert to fraction form
    1,096.17/1,512.84 = 624.24/x
  3. Step 3: Cross multiply
    1,096.17x = 1,512.84 × 624.24
  4. Step 4: Simplify right side
    1,096.17x = 944,377.58
  5. Step 5: Solve for x
    x = 944,377.58/1,096.17
  6. Step 6: Final answer
    x = 861.53

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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.