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Finding the Fourth Proportional to 745.80, 1,118.32 and 283.71

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Solution

The fourth proportional to 745.80, 1,118.32 and 283.71 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.80 : 1,118.32 = 283.71 : x
  2. Step 2: Convert to fraction form
    745.80/1,118.32 = 283.71/x
  3. Step 3: Cross multiply
    745.80x = 1,118.32 × 283.71
  4. Step 4: Simplify right side
    745.80x = 317,280.04
  5. Step 5: Solve for x
    x = 317,280.04/745.80
  6. Step 6: Final answer
    x = 425.42

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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.