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Finding the Fourth Proportional to 715.80, 991.52 and 701.22

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Solution

The fourth proportional to 715.80, 991.52 and 701.22 is: 971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.80 : 991.52 = 701.22 : x
  2. Step 2: Convert to fraction form
    715.80/991.52 = 701.22/x
  3. Step 3: Cross multiply
    715.80x = 991.52 × 701.22
  4. Step 4: Simplify right side
    715.80x = 695,273.65
  5. Step 5: Solve for x
    x = 695,273.65/715.80
  6. Step 6: Final answer
    x = 971.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.