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Finding the Fourth Proportional to 864.24, 1,294.29 and 473.65

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Solution

The fourth proportional to 864.24, 1,294.29 and 473.65 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,294.29 = 473.65 : x
  2. Step 2: Convert to fraction form
    864.24/1,294.29 = 473.65/x
  3. Step 3: Cross multiply
    864.24x = 1,294.29 × 473.65
  4. Step 4: Simplify right side
    864.24x = 613,040.46
  5. Step 5: Solve for x
    x = 613,040.46/864.24
  6. Step 6: Final answer
    x = 709.34

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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.