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Finding the Fourth Proportional to 926.34, 1,278.13 and 553.47

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Solution

The fourth proportional to 926.34, 1,278.13 and 553.47 is: 763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.34 : 1,278.13 = 553.47 : x
  2. Step 2: Convert to fraction form
    926.34/1,278.13 = 553.47/x
  3. Step 3: Cross multiply
    926.34x = 1,278.13 × 553.47
  4. Step 4: Simplify right side
    926.34x = 707,406.61
  5. Step 5: Solve for x
    x = 707,406.61/926.34
  6. Step 6: Final answer
    x = 763.66

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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.