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Finding the Fourth Proportional to 1,187.20, 1,780.80 and 798.40

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Solution

The fourth proportional to 1,187.20, 1,780.80 and 798.40 is: 1,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.20 : 1,780.80 = 798.40 : x
  2. Step 2: Convert to fraction form
    1,187.20/1,780.80 = 798.40/x
  3. Step 3: Cross multiply
    1,187.20x = 1,780.80 × 798.40
  4. Step 4: Simplify right side
    1,187.20x = 1,421,790.72
  5. Step 5: Solve for x
    x = 1,421,790.72/1,187.20
  6. Step 6: Final answer
    x = 1,197.60

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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.