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Finding the Fourth Proportional to 864.32, 1,192.56 and 515.12

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Solution

The fourth proportional to 864.32, 1,192.56 and 515.12 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,192.56 = 515.12 : x
  2. Step 2: Convert to fraction form
    864.32/1,192.56 = 515.12/x
  3. Step 3: Cross multiply
    864.32x = 1,192.56 × 515.12
  4. Step 4: Simplify right side
    864.32x = 614,311.51
  5. Step 5: Solve for x
    x = 614,311.51/864.32
  6. Step 6: Final answer
    x = 710.75

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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.