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Finding the Fourth Proportional to 976.74, 1,347.90 and 534.64

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Solution

The fourth proportional to 976.74, 1,347.90 and 534.64 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.74 : 1,347.90 = 534.64 : x
  2. Step 2: Convert to fraction form
    976.74/1,347.90 = 534.64/x
  3. Step 3: Cross multiply
    976.74x = 1,347.90 × 534.64
  4. Step 4: Simplify right side
    976.74x = 720,646.34
  5. Step 5: Solve for x
    x = 720,646.34/976.74
  6. Step 6: Final answer
    x = 737.81

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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.