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Finding the Fourth Proportional to 1,144.71, 1,715.45 and 624.29

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Solution

The fourth proportional to 1,144.71, 1,715.45 and 624.29 is: 935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.71 : 1,715.45 = 624.29 : x
  2. Step 2: Convert to fraction form
    1,144.71/1,715.45 = 624.29/x
  3. Step 3: Cross multiply
    1,144.71x = 1,715.45 × 624.29
  4. Step 4: Simplify right side
    1,144.71x = 1,070,926.58
  5. Step 5: Solve for x
    x = 1,070,926.58/1,144.71
  6. Step 6: Final answer
    x = 935.54

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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.