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Finding the Fourth Proportional to 1,074.66, 1,610.60 and 1,063.05

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Solution

The fourth proportional to 1,074.66, 1,610.60 and 1,063.05 is: 1,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.66 : 1,610.60 = 1,063.05 : x
  2. Step 2: Convert to fraction form
    1,074.66/1,610.60 = 1,063.05/x
  3. Step 3: Cross multiply
    1,074.66x = 1,610.60 × 1,063.05
  4. Step 4: Simplify right side
    1,074.66x = 1,712,148.33
  5. Step 5: Solve for x
    x = 1,712,148.33/1,074.66
  6. Step 6: Final answer
    x = 1,593.20

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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.