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Finding the Fourth Proportional to 927.34, 1,280.02 and 534.63

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Solution

The fourth proportional to 927.34, 1,280.02 and 534.63 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.34 : 1,280.02 = 534.63 : x
  2. Step 2: Convert to fraction form
    927.34/1,280.02 = 534.63/x
  3. Step 3: Cross multiply
    927.34x = 1,280.02 × 534.63
  4. Step 4: Simplify right side
    927.34x = 684,337.09
  5. Step 5: Solve for x
    x = 684,337.09/927.34
  6. Step 6: Final answer
    x = 737.96

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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.