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Finding the Fourth Proportional to 926.35, 1,278.24 and 527.97

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Solution

The fourth proportional to 926.35, 1,278.24 and 527.97 is: 728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.35 : 1,278.24 = 527.97 : x
  2. Step 2: Convert to fraction form
    926.35/1,278.24 = 527.97/x
  3. Step 3: Cross multiply
    926.35x = 1,278.24 × 527.97
  4. Step 4: Simplify right side
    926.35x = 674,864.66
  5. Step 5: Solve for x
    x = 674,864.66/926.35
  6. Step 6: Final answer
    x = 728.52

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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.