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Finding the Fourth Proportional to 864.16, 1,294.96 and 711.16

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Solution

The fourth proportional to 864.16, 1,294.96 and 711.16 is: 1,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,294.96 = 711.16 : x
  2. Step 2: Convert to fraction form
    864.16/1,294.96 = 711.16/x
  3. Step 3: Cross multiply
    864.16x = 1,294.96 × 711.16
  4. Step 4: Simplify right side
    864.16x = 920,923.75
  5. Step 5: Solve for x
    x = 920,923.75/864.16
  6. Step 6: Final answer
    x = 1,065.69

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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.