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Finding the Fourth Proportional to 1,427.07, 2,141.07 and 453.18

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Solution

The fourth proportional to 1,427.07, 2,141.07 and 453.18 is: 679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.07 : 2,141.07 = 453.18 : x
  2. Step 2: Convert to fraction form
    1,427.07/2,141.07 = 453.18/x
  3. Step 3: Cross multiply
    1,427.07x = 2,141.07 × 453.18
  4. Step 4: Simplify right side
    1,427.07x = 970,290.10
  5. Step 5: Solve for x
    x = 970,290.10/1,427.07
  6. Step 6: Final answer
    x = 679.92

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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.