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Finding the Fourth Proportional to 865, 1,297.64 and 592.84

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Solution

The fourth proportional to 865, 1,297.64 and 592.84 is: 889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865 : 1,297.64 = 592.84 : x
  2. Step 2: Convert to fraction form
    865/1,297.64 = 592.84/x
  3. Step 3: Cross multiply
    865x = 1,297.64 × 592.84
  4. Step 4: Simplify right side
    865x = 769,292.90
  5. Step 5: Solve for x
    x = 769,292.90/865
  6. Step 6: Final answer
    x = 889.36

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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.