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Finding the Fourth Proportional to 864.64, 1,193.16 and 515.20

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Solution

The fourth proportional to 864.64, 1,193.16 and 515.20 is: 710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.64 : 1,193.16 = 515.20 : x
  2. Step 2: Convert to fraction form
    864.64/1,193.16 = 515.20/x
  3. Step 3: Cross multiply
    864.64x = 1,193.16 × 515.20
  4. Step 4: Simplify right side
    864.64x = 614,716.03
  5. Step 5: Solve for x
    x = 614,716.03/864.64
  6. Step 6: Final answer
    x = 710.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.