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Finding the Fourth Proportional to 1,147.10, 1,574.20 and 1,074.20

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Solution

The fourth proportional to 1,147.10, 1,574.20 and 1,074.20 is: 1,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.10 : 1,574.20 = 1,074.20 : x
  2. Step 2: Convert to fraction form
    1,147.10/1,574.20 = 1,074.20/x
  3. Step 3: Cross multiply
    1,147.10x = 1,574.20 × 1,074.20
  4. Step 4: Simplify right side
    1,147.10x = 1,691,005.64
  5. Step 5: Solve for x
    x = 1,691,005.64/1,147.10
  6. Step 6: Final answer
    x = 1,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.