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Finding the Fourth Proportional to 745.92, 1,117.76 and 609.92

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Solution

The fourth proportional to 745.92, 1,117.76 and 609.92 is: 913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,117.76 = 609.92 : x
  2. Step 2: Convert to fraction form
    745.92/1,117.76 = 609.92/x
  3. Step 3: Cross multiply
    745.92x = 1,117.76 × 609.92
  4. Step 4: Simplify right side
    745.92x = 681,744.18
  5. Step 5: Solve for x
    x = 681,744.18/745.92
  6. Step 6: Final answer
    x = 913.96

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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.