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Finding the Fourth Proportional to 948.25, 1,423.73 and 745.03

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Solution

The fourth proportional to 948.25, 1,423.73 and 745.03 is: 1,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.25 : 1,423.73 = 745.03 : x
  2. Step 2: Convert to fraction form
    948.25/1,423.73 = 745.03/x
  3. Step 3: Cross multiply
    948.25x = 1,423.73 × 745.03
  4. Step 4: Simplify right side
    948.25x = 1,060,721.56
  5. Step 5: Solve for x
    x = 1,060,721.56/948.25
  6. Step 6: Final answer
    x = 1,118.61

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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.