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Finding the Fourth Proportional to 926.96, 1,278.53 and 553.64

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Solution

The fourth proportional to 926.96, 1,278.53 and 553.64 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.96 : 1,278.53 = 553.64 : x
  2. Step 2: Convert to fraction form
    926.96/1,278.53 = 553.64/x
  3. Step 3: Cross multiply
    926.96x = 1,278.53 × 553.64
  4. Step 4: Simplify right side
    926.96x = 707,836.19
  5. Step 5: Solve for x
    x = 707,836.19/926.96
  6. Step 6: Final answer
    x = 763.61

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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.