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Finding the Fourth Proportional to 1,120.04, 1,686 and 797.64

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Solution

The fourth proportional to 1,120.04, 1,686 and 797.64 is: 1,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.04 : 1,686 = 797.64 : x
  2. Step 2: Convert to fraction form
    1,120.04/1,686 = 797.64/x
  3. Step 3: Cross multiply
    1,120.04x = 1,686 × 797.64
  4. Step 4: Simplify right side
    1,120.04x = 1,344,821.04
  5. Step 5: Solve for x
    x = 1,344,821.04/1,120.04
  6. Step 6: Final answer
    x = 1,200.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.