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Finding the Fourth Proportional to 1,442.54, 2,164.80 and 576.92

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Solution

The fourth proportional to 1,442.54, 2,164.80 and 576.92 is: 865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.54 : 2,164.80 = 576.92 : x
  2. Step 2: Convert to fraction form
    1,442.54/2,164.80 = 576.92/x
  3. Step 3: Cross multiply
    1,442.54x = 2,164.80 × 576.92
  4. Step 4: Simplify right side
    1,442.54x = 1,248,916.42
  5. Step 5: Solve for x
    x = 1,248,916.42/1,442.54
  6. Step 6: Final answer
    x = 865.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.