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Finding the Fourth Proportional to 745.53, 1,117.65 and 398.67

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Solution

The fourth proportional to 745.53, 1,117.65 and 398.67 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.53 : 1,117.65 = 398.67 : x
  2. Step 2: Convert to fraction form
    745.53/1,117.65 = 398.67/x
  3. Step 3: Cross multiply
    745.53x = 1,117.65 × 398.67
  4. Step 4: Simplify right side
    745.53x = 445,573.53
  5. Step 5: Solve for x
    x = 445,573.53/745.53
  6. Step 6: Final answer
    x = 597.66

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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.