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Finding the Fourth Proportional to 1,045.06, 1,567.98 and 680.56

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Solution

The fourth proportional to 1,045.06, 1,567.98 and 680.56 is: 1,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.06 : 1,567.98 = 680.56 : x
  2. Step 2: Convert to fraction form
    1,045.06/1,567.98 = 680.56/x
  3. Step 3: Cross multiply
    1,045.06x = 1,567.98 × 680.56
  4. Step 4: Simplify right side
    1,045.06x = 1,067,104.47
  5. Step 5: Solve for x
    x = 1,067,104.47/1,045.06
  6. Step 6: Final answer
    x = 1,021.09

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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.