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Finding the Fourth Proportional to 1,349.85, 2,023.21 and 527.65

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Solution

The fourth proportional to 1,349.85, 2,023.21 and 527.65 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.85 : 2,023.21 = 527.65 : x
  2. Step 2: Convert to fraction form
    1,349.85/2,023.21 = 527.65/x
  3. Step 3: Cross multiply
    1,349.85x = 2,023.21 × 527.65
  4. Step 4: Simplify right side
    1,349.85x = 1,067,546.76
  5. Step 5: Solve for x
    x = 1,067,546.76/1,349.85
  6. Step 6: Final answer
    x = 790.86

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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.