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Finding the Fourth Proportional to 976.57, 1,347.64 and 534.46

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Solution

The fourth proportional to 976.57, 1,347.64 and 534.46 is: 737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.57 : 1,347.64 = 534.46 : x
  2. Step 2: Convert to fraction form
    976.57/1,347.64 = 534.46/x
  3. Step 3: Cross multiply
    976.57x = 1,347.64 × 534.46
  4. Step 4: Simplify right side
    976.57x = 720,259.67
  5. Step 5: Solve for x
    x = 720,259.67/976.57
  6. Step 6: Final answer
    x = 737.54

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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.