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Finding the Fourth Proportional to 861.94, 1,292.96 and 717.40

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Solution

The fourth proportional to 861.94, 1,292.96 and 717.40 is: 1,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.94 : 1,292.96 = 717.40 : x
  2. Step 2: Convert to fraction form
    861.94/1,292.96 = 717.40/x
  3. Step 3: Cross multiply
    861.94x = 1,292.96 × 717.40
  4. Step 4: Simplify right side
    861.94x = 927,569.50
  5. Step 5: Solve for x
    x = 927,569.50/861.94
  6. Step 6: Final answer
    x = 1,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.