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Finding the Fourth Proportional to 924.88, 1,278.15 and 826.46

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Solution

The fourth proportional to 924.88, 1,278.15 and 826.46 is: 1,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.88 : 1,278.15 = 826.46 : x
  2. Step 2: Convert to fraction form
    924.88/1,278.15 = 826.46/x
  3. Step 3: Cross multiply
    924.88x = 1,278.15 × 826.46
  4. Step 4: Simplify right side
    924.88x = 1,056,339.85
  5. Step 5: Solve for x
    x = 1,056,339.85/924.88
  6. Step 6: Final answer
    x = 1,142.14

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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.