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Finding the Fourth Proportional to 1,298.57, 1,947.69 and 361.58

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Solution

The fourth proportional to 1,298.57, 1,947.69 and 361.58 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.57 : 1,947.69 = 361.58 : x
  2. Step 2: Convert to fraction form
    1,298.57/1,947.69 = 361.58/x
  3. Step 3: Cross multiply
    1,298.57x = 1,947.69 × 361.58
  4. Step 4: Simplify right side
    1,298.57x = 704,251.52
  5. Step 5: Solve for x
    x = 704,251.52/1,298.57
  6. Step 6: Final answer
    x = 542.33

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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.