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Finding the Fourth Proportional to 659.68, 991.05 and 624.25

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Solution

The fourth proportional to 659.68, 991.05 and 624.25 is: 937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 991.05 = 624.25 : x
  2. Step 2: Convert to fraction form
    659.68/991.05 = 624.25/x
  3. Step 3: Cross multiply
    659.68x = 991.05 × 624.25
  4. Step 4: Simplify right side
    659.68x = 618,662.96
  5. Step 5: Solve for x
    x = 618,662.96/659.68
  6. Step 6: Final answer
    x = 937.82

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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.