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Finding the Fourth Proportional to 1,073.80, 1,610.56 and 525.70

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Solution

The fourth proportional to 1,073.80, 1,610.56 and 525.70 is: 788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.80 : 1,610.56 = 525.70 : x
  2. Step 2: Convert to fraction form
    1,073.80/1,610.56 = 525.70/x
  3. Step 3: Cross multiply
    1,073.80x = 1,610.56 × 525.70
  4. Step 4: Simplify right side
    1,073.80x = 846,671.39
  5. Step 5: Solve for x
    x = 846,671.39/1,073.80
  6. Step 6: Final answer
    x = 788.48

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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.