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Finding the Fourth Proportional to 1,232.52, 1,848.71 and 745.44

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Solution

The fourth proportional to 1,232.52, 1,848.71 and 745.44 is: 1,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.52 : 1,848.71 = 745.44 : x
  2. Step 2: Convert to fraction form
    1,232.52/1,848.71 = 745.44/x
  3. Step 3: Cross multiply
    1,232.52x = 1,848.71 × 745.44
  4. Step 4: Simplify right side
    1,232.52x = 1,378,098.66
  5. Step 5: Solve for x
    x = 1,378,098.66/1,232.52
  6. Step 6: Final answer
    x = 1,118.11

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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.