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Finding the Fourth Proportional to 865.66, 1,296.09 and 713.42

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Solution

The fourth proportional to 865.66, 1,296.09 and 713.42 is: 1,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.66 : 1,296.09 = 713.42 : x
  2. Step 2: Convert to fraction form
    865.66/1,296.09 = 713.42/x
  3. Step 3: Cross multiply
    865.66x = 1,296.09 × 713.42
  4. Step 4: Simplify right side
    865.66x = 924,656.53
  5. Step 5: Solve for x
    x = 924,656.53/865.66
  6. Step 6: Final answer
    x = 1,068.15

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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.