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Finding the Fourth Proportional to 749.02, 1,129.52 and 738.76

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Solution

The fourth proportional to 749.02, 1,129.52 and 738.76 is: 1,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.02 : 1,129.52 = 738.76 : x
  2. Step 2: Convert to fraction form
    749.02/1,129.52 = 738.76/x
  3. Step 3: Cross multiply
    749.02x = 1,129.52 × 738.76
  4. Step 4: Simplify right side
    749.02x = 834,444.20
  5. Step 5: Solve for x
    x = 834,444.20/749.02
  6. Step 6: Final answer
    x = 1,114.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.