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Finding the Fourth Proportional to 1,298.31, 1,947.78 and 373.92

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Solution

The fourth proportional to 1,298.31, 1,947.78 and 373.92 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.31 : 1,947.78 = 373.92 : x
  2. Step 2: Convert to fraction form
    1,298.31/1,947.78 = 373.92/x
  3. Step 3: Cross multiply
    1,298.31x = 1,947.78 × 373.92
  4. Step 4: Simplify right side
    1,298.31x = 728,313.90
  5. Step 5: Solve for x
    x = 728,313.90/1,298.31
  6. Step 6: Final answer
    x = 560.97

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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.