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Finding the Fourth Proportional to 659.14, 989.72 and 624.51

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Solution

The fourth proportional to 659.14, 989.72 and 624.51 is: 937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 989.72 = 624.51 : x
  2. Step 2: Convert to fraction form
    659.14/989.72 = 624.51/x
  3. Step 3: Cross multiply
    659.14x = 989.72 × 624.51
  4. Step 4: Simplify right side
    659.14x = 618,089.26
  5. Step 5: Solve for x
    x = 618,089.26/659.14
  6. Step 6: Final answer
    x = 937.72

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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.