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Finding the Fourth Proportional to 1,045.86, 1,567.70 and 680.82

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Solution

The fourth proportional to 1,045.86, 1,567.70 and 680.82 is: 1,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.86 : 1,567.70 = 680.82 : x
  2. Step 2: Convert to fraction form
    1,045.86/1,567.70 = 680.82/x
  3. Step 3: Cross multiply
    1,045.86x = 1,567.70 × 680.82
  4. Step 4: Simplify right side
    1,045.86x = 1,067,321.51
  5. Step 5: Solve for x
    x = 1,067,321.51/1,045.86
  6. Step 6: Final answer
    x = 1,020.52

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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.