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Finding the Fourth Proportional to 1,344.95, 2,017.47 and 371.12

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Solution

The fourth proportional to 1,344.95, 2,017.47 and 371.12 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.95 : 2,017.47 = 371.12 : x
  2. Step 2: Convert to fraction form
    1,344.95/2,017.47 = 371.12/x
  3. Step 3: Cross multiply
    1,344.95x = 2,017.47 × 371.12
  4. Step 4: Simplify right side
    1,344.95x = 748,722.54
  5. Step 5: Solve for x
    x = 748,722.54/1,344.95
  6. Step 6: Final answer
    x = 556.69

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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.