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Finding the Fourth Proportional to 773.02, 1,159.12 and 713.08

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Solution

The fourth proportional to 773.02, 1,159.12 and 713.08 is: 1,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,159.12 = 713.08 : x
  2. Step 2: Convert to fraction form
    773.02/1,159.12 = 713.08/x
  3. Step 3: Cross multiply
    773.02x = 1,159.12 × 713.08
  4. Step 4: Simplify right side
    773.02x = 826,545.29
  5. Step 5: Solve for x
    x = 826,545.29/773.02
  6. Step 6: Final answer
    x = 1,069.24

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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.