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Finding the Fourth Proportional to 642.77, 964.70 and 496.91

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Solution

The fourth proportional to 642.77, 964.70 and 496.91 is: 745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.77 : 964.70 = 496.91 : x
  2. Step 2: Convert to fraction form
    642.77/964.70 = 496.91/x
  3. Step 3: Cross multiply
    642.77x = 964.70 × 496.91
  4. Step 4: Simplify right side
    642.77x = 479,369.47
  5. Step 5: Solve for x
    x = 479,369.47/642.77
  6. Step 6: Final answer
    x = 745.79

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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.