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Finding the Fourth Proportional to 976.50, 1,347.57 and 534.40

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Solution

The fourth proportional to 976.50, 1,347.57 and 534.40 is: 737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.50 : 1,347.57 = 534.40 : x
  2. Step 2: Convert to fraction form
    976.50/1,347.57 = 534.40/x
  3. Step 3: Cross multiply
    976.50x = 1,347.57 × 534.40
  4. Step 4: Simplify right side
    976.50x = 720,144.78
  5. Step 5: Solve for x
    x = 720,144.78/976.50
  6. Step 6: Final answer
    x = 737.48

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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.