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Finding the Fourth Proportional to 798.46, 1,191.26 and 710.73

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Solution

The fourth proportional to 798.46, 1,191.26 and 710.73 is: 1,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.46 : 1,191.26 = 710.73 : x
  2. Step 2: Convert to fraction form
    798.46/1,191.26 = 710.73/x
  3. Step 3: Cross multiply
    798.46x = 1,191.26 × 710.73
  4. Step 4: Simplify right side
    798.46x = 846,666.00
  5. Step 5: Solve for x
    x = 846,666.00/798.46
  6. Step 6: Final answer
    x = 1,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.