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Finding the Fourth Proportional to 1,110.80, 1,532.36 and 718.16

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Solution

The fourth proportional to 1,110.80, 1,532.36 and 718.16 is: 990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.80 : 1,532.36 = 718.16 : x
  2. Step 2: Convert to fraction form
    1,110.80/1,532.36 = 718.16/x
  3. Step 3: Cross multiply
    1,110.80x = 1,532.36 × 718.16
  4. Step 4: Simplify right side
    1,110.80x = 1,100,479.66
  5. Step 5: Solve for x
    x = 1,100,479.66/1,110.80
  6. Step 6: Final answer
    x = 990.71

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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.