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Finding the Fourth Proportional to 861.64, 1,292.46 and 678.82

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Solution

The fourth proportional to 861.64, 1,292.46 and 678.82 is: 1,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.64 : 1,292.46 = 678.82 : x
  2. Step 2: Convert to fraction form
    861.64/1,292.46 = 678.82/x
  3. Step 3: Cross multiply
    861.64x = 1,292.46 × 678.82
  4. Step 4: Simplify right side
    861.64x = 877,347.70
  5. Step 5: Solve for x
    x = 877,347.70/861.64
  6. Step 6: Final answer
    x = 1,018.23

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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.