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Finding the Fourth Proportional to 927.36, 1,279.76 and 534.24

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Solution

The fourth proportional to 927.36, 1,279.76 and 534.24 is: 737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.36 : 1,279.76 = 534.24 : x
  2. Step 2: Convert to fraction form
    927.36/1,279.76 = 534.24/x
  3. Step 3: Cross multiply
    927.36x = 1,279.76 × 534.24
  4. Step 4: Simplify right side
    927.36x = 683,698.98
  5. Step 5: Solve for x
    x = 683,698.98/927.36
  6. Step 6: Final answer
    x = 737.25

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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.