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Finding the Fourth Proportional to 706.74, 1,060.47 and 534.46

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Solution

The fourth proportional to 706.74, 1,060.47 and 534.46 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,060.47 = 534.46 : x
  2. Step 2: Convert to fraction form
    706.74/1,060.47 = 534.46/x
  3. Step 3: Cross multiply
    706.74x = 1,060.47 × 534.46
  4. Step 4: Simplify right side
    706.74x = 566,776.15
  5. Step 5: Solve for x
    x = 566,776.15/706.74
  6. Step 6: Final answer
    x = 801.96

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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.