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Finding the Fourth Proportional to 1,262.05, 1,741.85 and 738.34

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Solution

The fourth proportional to 1,262.05, 1,741.85 and 738.34 is: 1,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.05 : 1,741.85 = 738.34 : x
  2. Step 2: Convert to fraction form
    1,262.05/1,741.85 = 738.34/x
  3. Step 3: Cross multiply
    1,262.05x = 1,741.85 × 738.34
  4. Step 4: Simplify right side
    1,262.05x = 1,286,077.53
  5. Step 5: Solve for x
    x = 1,286,077.53/1,262.05
  6. Step 6: Final answer
    x = 1,019.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.