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Finding the Fourth Proportional to 1,034.88, 1,551.36 and 624.96

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Solution

The fourth proportional to 1,034.88, 1,551.36 and 624.96 is: 936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.88 : 1,551.36 = 624.96 : x
  2. Step 2: Convert to fraction form
    1,034.88/1,551.36 = 624.96/x
  3. Step 3: Cross multiply
    1,034.88x = 1,551.36 × 624.96
  4. Step 4: Simplify right side
    1,034.88x = 969,537.95
  5. Step 5: Solve for x
    x = 969,537.95/1,034.88
  6. Step 6: Final answer
    x = 936.86

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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.