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Finding the Fourth Proportional to 916.74, 1,372.37 and 624.53

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Solution

The fourth proportional to 916.74, 1,372.37 and 624.53 is: 934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,372.37 = 624.53 : x
  2. Step 2: Convert to fraction form
    916.74/1,372.37 = 624.53/x
  3. Step 3: Cross multiply
    916.74x = 1,372.37 × 624.53
  4. Step 4: Simplify right side
    916.74x = 857,086.54
  5. Step 5: Solve for x
    x = 857,086.54/916.74
  6. Step 6: Final answer
    x = 934.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.