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Finding the Fourth Proportional to 1,337.06, 1,844.30 and 864.78

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Solution

The fourth proportional to 1,337.06, 1,844.30 and 864.78 is: 1,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.06 : 1,844.30 = 864.78 : x
  2. Step 2: Convert to fraction form
    1,337.06/1,844.30 = 864.78/x
  3. Step 3: Cross multiply
    1,337.06x = 1,844.30 × 864.78
  4. Step 4: Simplify right side
    1,337.06x = 1,594,913.75
  5. Step 5: Solve for x
    x = 1,594,913.75/1,337.06
  6. Step 6: Final answer
    x = 1,192.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.