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Finding the Fourth Proportional to 1,575.25, 2,363.48 and 697.31

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Solution

The fourth proportional to 1,575.25, 2,363.48 and 697.31 is: 1,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.25 : 2,363.48 = 697.31 : x
  2. Step 2: Convert to fraction form
    1,575.25/2,363.48 = 697.31/x
  3. Step 3: Cross multiply
    1,575.25x = 2,363.48 × 697.31
  4. Step 4: Simplify right side
    1,575.25x = 1,648,074.41
  5. Step 5: Solve for x
    x = 1,648,074.41/1,575.25
  6. Step 6: Final answer
    x = 1,046.23

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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.