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Finding the Fourth Proportional to 1,402.48, 2,102.49 and 708.57

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Solution

The fourth proportional to 1,402.48, 2,102.49 and 708.57 is: 1,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.48 : 2,102.49 = 708.57 : x
  2. Step 2: Convert to fraction form
    1,402.48/2,102.49 = 708.57/x
  3. Step 3: Cross multiply
    1,402.48x = 2,102.49 × 708.57
  4. Step 4: Simplify right side
    1,402.48x = 1,489,761.34
  5. Step 5: Solve for x
    x = 1,489,761.34/1,402.48
  6. Step 6: Final answer
    x = 1,062.23

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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.