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Finding the Fourth Proportional to 864.10, 1,192.29 and 514.74

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Solution

The fourth proportional to 864.10, 1,192.29 and 514.74 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.10 : 1,192.29 = 514.74 : x
  2. Step 2: Convert to fraction form
    864.10/1,192.29 = 514.74/x
  3. Step 3: Cross multiply
    864.10x = 1,192.29 × 514.74
  4. Step 4: Simplify right side
    864.10x = 613,719.35
  5. Step 5: Solve for x
    x = 613,719.35/864.10
  6. Step 6: Final answer
    x = 710.24

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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.