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Finding the Fourth Proportional to 745.96, 1,113.78 and 738.58

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Solution

The fourth proportional to 745.96, 1,113.78 and 738.58 is: 1,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.96 : 1,113.78 = 738.58 : x
  2. Step 2: Convert to fraction form
    745.96/1,113.78 = 738.58/x
  3. Step 3: Cross multiply
    745.96x = 1,113.78 × 738.58
  4. Step 4: Simplify right side
    745.96x = 822,615.63
  5. Step 5: Solve for x
    x = 822,615.63/745.96
  6. Step 6: Final answer
    x = 1,102.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.