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Finding the Fourth Proportional to 1,520.13, 2,279.28 and 594.58

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Solution

The fourth proportional to 1,520.13, 2,279.28 and 594.58 is: 891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.13 : 2,279.28 = 594.58 : x
  2. Step 2: Convert to fraction form
    1,520.13/2,279.28 = 594.58/x
  3. Step 3: Cross multiply
    1,520.13x = 2,279.28 × 594.58
  4. Step 4: Simplify right side
    1,520.13x = 1,355,211.33
  5. Step 5: Solve for x
    x = 1,355,211.33/1,520.13
  6. Step 6: Final answer
    x = 891.51

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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.