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Finding the Fourth Proportional to 927.33, 1,279.83 and 534.35

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Solution

The fourth proportional to 927.33, 1,279.83 and 534.35 is: 737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.33 : 1,279.83 = 534.35 : x
  2. Step 2: Convert to fraction form
    927.33/1,279.83 = 534.35/x
  3. Step 3: Cross multiply
    927.33x = 1,279.83 × 534.35
  4. Step 4: Simplify right side
    927.33x = 683,877.16
  5. Step 5: Solve for x
    x = 683,877.16/927.33
  6. Step 6: Final answer
    x = 737.47

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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.