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Finding the Fourth Proportional to 1,335.62, 1,843.16 and 760.70

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Solution

The fourth proportional to 1,335.62, 1,843.16 and 760.70 is: 1,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.62 : 1,843.16 = 760.70 : x
  2. Step 2: Convert to fraction form
    1,335.62/1,843.16 = 760.70/x
  3. Step 3: Cross multiply
    1,335.62x = 1,843.16 × 760.70
  4. Step 4: Simplify right side
    1,335.62x = 1,402,091.81
  5. Step 5: Solve for x
    x = 1,402,091.81/1,335.62
  6. Step 6: Final answer
    x = 1,049.77

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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.