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Finding the Fourth Proportional to 745.35, 1,116.89 and 398.74

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Solution

The fourth proportional to 745.35, 1,116.89 and 398.74 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,116.89 = 398.74 : x
  2. Step 2: Convert to fraction form
    745.35/1,116.89 = 398.74/x
  3. Step 3: Cross multiply
    745.35x = 1,116.89 × 398.74
  4. Step 4: Simplify right side
    745.35x = 445,348.72
  5. Step 5: Solve for x
    x = 445,348.72/745.35
  6. Step 6: Final answer
    x = 597.50

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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.