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Finding the Fourth Proportional to 976.74, 1,347.85 and 534.61

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Solution

The fourth proportional to 976.74, 1,347.85 and 534.61 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.74 : 1,347.85 = 534.61 : x
  2. Step 2: Convert to fraction form
    976.74/1,347.85 = 534.61/x
  3. Step 3: Cross multiply
    976.74x = 1,347.85 × 534.61
  4. Step 4: Simplify right side
    976.74x = 720,574.09
  5. Step 5: Solve for x
    x = 720,574.09/976.74
  6. Step 6: Final answer
    x = 737.73

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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.