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Finding the Fourth Proportional to 1,348.09, 1,860.30 and 758.61

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Solution

The fourth proportional to 1,348.09, 1,860.30 and 758.61 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.09 : 1,860.30 = 758.61 : x
  2. Step 2: Convert to fraction form
    1,348.09/1,860.30 = 758.61/x
  3. Step 3: Cross multiply
    1,348.09x = 1,860.30 × 758.61
  4. Step 4: Simplify right side
    1,348.09x = 1,411,242.18
  5. Step 5: Solve for x
    x = 1,411,242.18/1,348.09
  6. Step 6: Final answer
    x = 1,046.85

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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.