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Finding the Fourth Proportional to 1,287.12, 1,776.24 and 763.20

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Solution

The fourth proportional to 1,287.12, 1,776.24 and 763.20 is: 1,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.12 : 1,776.24 = 763.20 : x
  2. Step 2: Convert to fraction form
    1,287.12/1,776.24 = 763.20/x
  3. Step 3: Cross multiply
    1,287.12x = 1,776.24 × 763.20
  4. Step 4: Simplify right side
    1,287.12x = 1,355,626.37
  5. Step 5: Solve for x
    x = 1,355,626.37/1,287.12
  6. Step 6: Final answer
    x = 1,053.22

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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.