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Finding the Fourth Proportional to 1,239.25, 1,710.57 and 890.95

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Solution

The fourth proportional to 1,239.25, 1,710.57 and 890.95 is: 1,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.25 : 1,710.57 = 890.95 : x
  2. Step 2: Convert to fraction form
    1,239.25/1,710.57 = 890.95/x
  3. Step 3: Cross multiply
    1,239.25x = 1,710.57 × 890.95
  4. Step 4: Simplify right side
    1,239.25x = 1,524,032.34
  5. Step 5: Solve for x
    x = 1,524,032.34/1,239.25
  6. Step 6: Final answer
    x = 1,229.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.