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Finding the Fourth Proportional to 1,339.25, 2,008.88 and 569.75

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Solution

The fourth proportional to 1,339.25, 2,008.88 and 569.75 is: 854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.25 : 2,008.88 = 569.75 : x
  2. Step 2: Convert to fraction form
    1,339.25/2,008.88 = 569.75/x
  3. Step 3: Cross multiply
    1,339.25x = 2,008.88 × 569.75
  4. Step 4: Simplify right side
    1,339.25x = 1,144,556.53
  5. Step 5: Solve for x
    x = 1,144,556.53/1,339.25
  6. Step 6: Final answer
    x = 854.63

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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.