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Finding the Fourth Proportional to 1,177.92, 1,767.24 and 601.20

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Solution

The fourth proportional to 1,177.92, 1,767.24 and 601.20 is: 901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.92 : 1,767.24 = 601.20 : x
  2. Step 2: Convert to fraction form
    1,177.92/1,767.24 = 601.20/x
  3. Step 3: Cross multiply
    1,177.92x = 1,767.24 × 601.20
  4. Step 4: Simplify right side
    1,177.92x = 1,062,464.69
  5. Step 5: Solve for x
    x = 1,062,464.69/1,177.92
  6. Step 6: Final answer
    x = 901.98

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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.