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Finding the Fourth Proportional to 659.78, 991.95 and 616.95

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Solution

The fourth proportional to 659.78, 991.95 and 616.95 is: 927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 991.95 = 616.95 : x
  2. Step 2: Convert to fraction form
    659.78/991.95 = 616.95/x
  3. Step 3: Cross multiply
    659.78x = 991.95 × 616.95
  4. Step 4: Simplify right side
    659.78x = 611,983.55
  5. Step 5: Solve for x
    x = 611,983.55/659.78
  6. Step 6: Final answer
    x = 927.56

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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.