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Finding the Fourth Proportional to 1,402.40, 2,102.54 and 708.54

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Solution

The fourth proportional to 1,402.40, 2,102.54 and 708.54 is: 1,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.40 : 2,102.54 = 708.54 : x
  2. Step 2: Convert to fraction form
    1,402.40/2,102.54 = 708.54/x
  3. Step 3: Cross multiply
    1,402.40x = 2,102.54 × 708.54
  4. Step 4: Simplify right side
    1,402.40x = 1,489,733.69
  5. Step 5: Solve for x
    x = 1,489,733.69/1,402.40
  6. Step 6: Final answer
    x = 1,062.27

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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.