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Finding the Fourth Proportional to 1,559.16, 2,339.04 and 519.24

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Solution

The fourth proportional to 1,559.16, 2,339.04 and 519.24 is: 778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.16 : 2,339.04 = 519.24 : x
  2. Step 2: Convert to fraction form
    1,559.16/2,339.04 = 519.24/x
  3. Step 3: Cross multiply
    1,559.16x = 2,339.04 × 519.24
  4. Step 4: Simplify right side
    1,559.16x = 1,214,523.13
  5. Step 5: Solve for x
    x = 1,214,523.13/1,559.16
  6. Step 6: Final answer
    x = 778.96

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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.