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Finding the Fourth Proportional to 678.24, 1,017.30 and 642.66

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Solution

The fourth proportional to 678.24, 1,017.30 and 642.66 is: 963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.24 : 1,017.30 = 642.66 : x
  2. Step 2: Convert to fraction form
    678.24/1,017.30 = 642.66/x
  3. Step 3: Cross multiply
    678.24x = 1,017.30 × 642.66
  4. Step 4: Simplify right side
    678.24x = 653,778.02
  5. Step 5: Solve for x
    x = 653,778.02/678.24
  6. Step 6: Final answer
    x = 963.93

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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.