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Finding the Fourth Proportional to 1,318.47, 1,976.68 and 798.34

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Solution

The fourth proportional to 1,318.47, 1,976.68 and 798.34 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.47 : 1,976.68 = 798.34 : x
  2. Step 2: Convert to fraction form
    1,318.47/1,976.68 = 798.34/x
  3. Step 3: Cross multiply
    1,318.47x = 1,976.68 × 798.34
  4. Step 4: Simplify right side
    1,318.47x = 1,578,062.71
  5. Step 5: Solve for x
    x = 1,578,062.71/1,318.47
  6. Step 6: Final answer
    x = 1,196.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.