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Finding the Fourth Proportional to 782.70, 1,170.81 and 711.42

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Solution

The fourth proportional to 782.70, 1,170.81 and 711.42 is: 1,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.70 : 1,170.81 = 711.42 : x
  2. Step 2: Convert to fraction form
    782.70/1,170.81 = 711.42/x
  3. Step 3: Cross multiply
    782.70x = 1,170.81 × 711.42
  4. Step 4: Simplify right side
    782.70x = 832,937.65
  5. Step 5: Solve for x
    x = 832,937.65/782.70
  6. Step 6: Final answer
    x = 1,064.19

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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.