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Finding the Fourth Proportional to 976.77, 1,347.87 and 534.63

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Solution

The fourth proportional to 976.77, 1,347.87 and 534.63 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.77 : 1,347.87 = 534.63 : x
  2. Step 2: Convert to fraction form
    976.77/1,347.87 = 534.63/x
  3. Step 3: Cross multiply
    976.77x = 1,347.87 × 534.63
  4. Step 4: Simplify right side
    976.77x = 720,611.74
  5. Step 5: Solve for x
    x = 720,611.74/976.77
  6. Step 6: Final answer
    x = 737.75

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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.