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Finding the Fourth Proportional to 864.84, 1,295.15 and 781.64

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Solution

The fourth proportional to 864.84, 1,295.15 and 781.64 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.84 : 1,295.15 = 781.64 : x
  2. Step 2: Convert to fraction form
    864.84/1,295.15 = 781.64/x
  3. Step 3: Cross multiply
    864.84x = 1,295.15 × 781.64
  4. Step 4: Simplify right side
    864.84x = 1,012,335.52
  5. Step 5: Solve for x
    x = 1,012,335.52/864.84
  6. Step 6: Final answer
    x = 1,170.54

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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.