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Finding the Fourth Proportional to 1,308.48, 1,963.68 and 624.96

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Solution

The fourth proportional to 1,308.48, 1,963.68 and 624.96 is: 937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.48 : 1,963.68 = 624.96 : x
  2. Step 2: Convert to fraction form
    1,308.48/1,963.68 = 624.96/x
  3. Step 3: Cross multiply
    1,308.48x = 1,963.68 × 624.96
  4. Step 4: Simplify right side
    1,308.48x = 1,227,221.45
  5. Step 5: Solve for x
    x = 1,227,221.45/1,308.48
  6. Step 6: Final answer
    x = 937.90

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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.