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Finding the Fourth Proportional to 925.04, 1,266.84 and 912.89

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Solution

The fourth proportional to 925.04, 1,266.84 and 912.89 is: 1,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,266.84 = 912.89 : x
  2. Step 2: Convert to fraction form
    925.04/1,266.84 = 912.89/x
  3. Step 3: Cross multiply
    925.04x = 1,266.84 × 912.89
  4. Step 4: Simplify right side
    925.04x = 1,156,481.00
  5. Step 5: Solve for x
    x = 1,156,481.00/925.04
  6. Step 6: Final answer
    x = 1,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.