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Finding the Fourth Proportional to 1,400.24, 1,932.38 and 840.96

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Solution

The fourth proportional to 1,400.24, 1,932.38 and 840.96 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.24 : 1,932.38 = 840.96 : x
  2. Step 2: Convert to fraction form
    1,400.24/1,932.38 = 840.96/x
  3. Step 3: Cross multiply
    1,400.24x = 1,932.38 × 840.96
  4. Step 4: Simplify right side
    1,400.24x = 1,625,050.16
  5. Step 5: Solve for x
    x = 1,625,050.16/1,400.24
  6. Step 6: Final answer
    x = 1,160.55

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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.