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Finding the Fourth Proportional to 1,040.82, 1,435.74 and 742.13

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Solution

The fourth proportional to 1,040.82, 1,435.74 and 742.13 is: 1,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.82 : 1,435.74 = 742.13 : x
  2. Step 2: Convert to fraction form
    1,040.82/1,435.74 = 742.13/x
  3. Step 3: Cross multiply
    1,040.82x = 1,435.74 × 742.13
  4. Step 4: Simplify right side
    1,040.82x = 1,065,506.53
  5. Step 5: Solve for x
    x = 1,065,506.53/1,040.82
  6. Step 6: Final answer
    x = 1,023.72

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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.