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Finding the Fourth Proportional to 745.38, 1,117.69 and 398.66

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Solution

The fourth proportional to 745.38, 1,117.69 and 398.66 is: 597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.38 : 1,117.69 = 398.66 : x
  2. Step 2: Convert to fraction form
    745.38/1,117.69 = 398.66/x
  3. Step 3: Cross multiply
    745.38x = 1,117.69 × 398.66
  4. Step 4: Simplify right side
    745.38x = 445,571.71
  5. Step 5: Solve for x
    x = 445,571.71/745.38
  6. Step 6: Final answer
    x = 597.78

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1.5x scale

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.