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Finding the Fourth Proportional to 976.75, 1,347.88 and 534.61

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Solution

The fourth proportional to 976.75, 1,347.88 and 534.61 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.75 : 1,347.88 = 534.61 : x
  2. Step 2: Convert to fraction form
    976.75/1,347.88 = 534.61/x
  3. Step 3: Cross multiply
    976.75x = 1,347.88 × 534.61
  4. Step 4: Simplify right side
    976.75x = 720,590.13
  5. Step 5: Solve for x
    x = 720,590.13/976.75
  6. Step 6: Final answer
    x = 737.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.