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Finding the Fourth Proportional to 1,400.10, 1,932.20 and 840.46

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Solution

The fourth proportional to 1,400.10, 1,932.20 and 840.46 is: 1,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.10 : 1,932.20 = 840.46 : x
  2. Step 2: Convert to fraction form
    1,400.10/1,932.20 = 840.46/x
  3. Step 3: Cross multiply
    1,400.10x = 1,932.20 × 840.46
  4. Step 4: Simplify right side
    1,400.10x = 1,623,936.81
  5. Step 5: Solve for x
    x = 1,623,936.81/1,400.10
  6. Step 6: Final answer
    x = 1,159.87

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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.