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Finding the Fourth Proportional to 1,038.97, 1,558.55 and 298.59

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Solution

The fourth proportional to 1,038.97, 1,558.55 and 298.59 is: 447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.97 : 1,558.55 = 298.59 : x
  2. Step 2: Convert to fraction form
    1,038.97/1,558.55 = 298.59/x
  3. Step 3: Cross multiply
    1,038.97x = 1,558.55 × 298.59
  4. Step 4: Simplify right side
    1,038.97x = 465,367.44
  5. Step 5: Solve for x
    x = 465,367.44/1,038.97
  6. Step 6: Final answer
    x = 447.91

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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.