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Finding the Fourth Proportional to 926.40, 1,278.17 and 533.36

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Solution

The fourth proportional to 926.40, 1,278.17 and 533.36 is: 735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.40 : 1,278.17 = 533.36 : x
  2. Step 2: Convert to fraction form
    926.40/1,278.17 = 533.36/x
  3. Step 3: Cross multiply
    926.40x = 1,278.17 × 533.36
  4. Step 4: Simplify right side
    926.40x = 681,715.69
  5. Step 5: Solve for x
    x = 681,715.69/926.40
  6. Step 6: Final answer
    x = 735.88

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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.