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Finding the Fourth Proportional to 1,074.15, 1,608.48 and 707.82

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Solution

The fourth proportional to 1,074.15, 1,608.48 and 707.82 is: 1,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.15 : 1,608.48 = 707.82 : x
  2. Step 2: Convert to fraction form
    1,074.15/1,608.48 = 707.82/x
  3. Step 3: Cross multiply
    1,074.15x = 1,608.48 × 707.82
  4. Step 4: Simplify right side
    1,074.15x = 1,138,514.31
  5. Step 5: Solve for x
    x = 1,138,514.31/1,074.15
  6. Step 6: Final answer
    x = 1,059.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.