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Finding the Fourth Proportional to 925.09, 1,269.43 and 841.55

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Solution

The fourth proportional to 925.09, 1,269.43 and 841.55 is: 1,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.09 : 1,269.43 = 841.55 : x
  2. Step 2: Convert to fraction form
    925.09/1,269.43 = 841.55/x
  3. Step 3: Cross multiply
    925.09x = 1,269.43 × 841.55
  4. Step 4: Simplify right side
    925.09x = 1,068,280.37
  5. Step 5: Solve for x
    x = 1,068,280.37/925.09
  6. Step 6: Final answer
    x = 1,154.79

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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.