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Finding the Fourth Proportional to 1,574.56, 2,362.48 and 794.14

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Solution

The fourth proportional to 1,574.56, 2,362.48 and 794.14 is: 1,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.56 : 2,362.48 = 794.14 : x
  2. Step 2: Convert to fraction form
    1,574.56/2,362.48 = 794.14/x
  3. Step 3: Cross multiply
    1,574.56x = 2,362.48 × 794.14
  4. Step 4: Simplify right side
    1,574.56x = 1,876,139.87
  5. Step 5: Solve for x
    x = 1,876,139.87/1,574.56
  6. Step 6: Final answer
    x = 1,191.53

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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.