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Finding the Fourth Proportional to 864.02, 1,191.93 and 514.46

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Solution

The fourth proportional to 864.02, 1,191.93 and 514.46 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.02 : 1,191.93 = 514.46 : x
  2. Step 2: Convert to fraction form
    864.02/1,191.93 = 514.46/x
  3. Step 3: Cross multiply
    864.02x = 1,191.93 × 514.46
  4. Step 4: Simplify right side
    864.02x = 613,200.31
  5. Step 5: Solve for x
    x = 613,200.31/864.02
  6. Step 6: Final answer
    x = 709.71

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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.