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Finding the Fourth Proportional to 1,402.56, 2,103.30 and 708.66

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Solution

The fourth proportional to 1,402.56, 2,103.30 and 708.66 is: 1,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.56 : 2,103.30 = 708.66 : x
  2. Step 2: Convert to fraction form
    1,402.56/2,103.30 = 708.66/x
  3. Step 3: Cross multiply
    1,402.56x = 2,103.30 × 708.66
  4. Step 4: Simplify right side
    1,402.56x = 1,490,524.58
  5. Step 5: Solve for x
    x = 1,490,524.58/1,402.56
  6. Step 6: Final answer
    x = 1,062.72

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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.