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Finding the Fourth Proportional to 1,427.29, 2,139.81 and 657.25

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Solution

The fourth proportional to 1,427.29, 2,139.81 and 657.25 is: 985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.29 : 2,139.81 = 657.25 : x
  2. Step 2: Convert to fraction form
    1,427.29/2,139.81 = 657.25/x
  3. Step 3: Cross multiply
    1,427.29x = 2,139.81 × 657.25
  4. Step 4: Simplify right side
    1,427.29x = 1,406,390.12
  5. Step 5: Solve for x
    x = 1,406,390.12/1,427.29
  6. Step 6: Final answer
    x = 985.36

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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.