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Finding the Fourth Proportional to 924.89, 1,377.39 and 869

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Solution

The fourth proportional to 924.89, 1,377.39 and 869 is: 1,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.89 : 1,377.39 = 869 : x
  2. Step 2: Convert to fraction form
    924.89/1,377.39 = 869/x
  3. Step 3: Cross multiply
    924.89x = 1,377.39 × 869
  4. Step 4: Simplify right side
    924.89x = 1,196,947.57
  5. Step 5: Solve for x
    x = 1,196,947.57/924.89
  6. Step 6: Final answer
    x = 1,294.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.