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Finding the Fourth Proportional to 1,599, 2,398.72 and 558.85

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Solution

The fourth proportional to 1,599, 2,398.72 and 558.85 is: 838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599 : 2,398.72 = 558.85 : x
  2. Step 2: Convert to fraction form
    1,599/2,398.72 = 558.85/x
  3. Step 3: Cross multiply
    1,599x = 2,398.72 × 558.85
  4. Step 4: Simplify right side
    1,599x = 1,340,524.67
  5. Step 5: Solve for x
    x = 1,340,524.67/1,599
  6. Step 6: Final answer
    x = 838.35

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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.