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Finding the Fourth Proportional to 1,162.88, 1,742.64 and 728.80

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Solution

The fourth proportional to 1,162.88, 1,742.64 and 728.80 is: 1,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.88 : 1,742.64 = 728.80 : x
  2. Step 2: Convert to fraction form
    1,162.88/1,742.64 = 728.80/x
  3. Step 3: Cross multiply
    1,162.88x = 1,742.64 × 728.80
  4. Step 4: Simplify right side
    1,162.88x = 1,270,036.03
  5. Step 5: Solve for x
    x = 1,270,036.03/1,162.88
  6. Step 6: Final answer
    x = 1,092.15

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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.