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Finding the Fourth Proportional to 745.52, 1,116.24 and 583.04

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Solution

The fourth proportional to 745.52, 1,116.24 and 583.04 is: 872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.52 : 1,116.24 = 583.04 : x
  2. Step 2: Convert to fraction form
    745.52/1,116.24 = 583.04/x
  3. Step 3: Cross multiply
    745.52x = 1,116.24 × 583.04
  4. Step 4: Simplify right side
    745.52x = 650,812.57
  5. Step 5: Solve for x
    x = 650,812.57/745.52
  6. Step 6: Final answer
    x = 872.96

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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.