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Finding the Fourth Proportional to 1,242.35, 1,712.91 and 1,043.96

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Solution

The fourth proportional to 1,242.35, 1,712.91 and 1,043.96 is: 1,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.35 : 1,712.91 = 1,043.96 : x
  2. Step 2: Convert to fraction form
    1,242.35/1,712.91 = 1,043.96/x
  3. Step 3: Cross multiply
    1,242.35x = 1,712.91 × 1,043.96
  4. Step 4: Simplify right side
    1,242.35x = 1,788,209.52
  5. Step 5: Solve for x
    x = 1,788,209.52/1,242.35
  6. Step 6: Final answer
    x = 1,439.38

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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.