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Finding the Fourth Proportional to 1,387.06, 2,081.21 and 607.65

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Solution

The fourth proportional to 1,387.06, 2,081.21 and 607.65 is: 911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.06 : 2,081.21 = 607.65 : x
  2. Step 2: Convert to fraction form
    1,387.06/2,081.21 = 607.65/x
  3. Step 3: Cross multiply
    1,387.06x = 2,081.21 × 607.65
  4. Step 4: Simplify right side
    1,387.06x = 1,264,647.26
  5. Step 5: Solve for x
    x = 1,264,647.26/1,387.06
  6. Step 6: Final answer
    x = 911.75

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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.