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Finding the Fourth Proportional to 1,081.15, 1,491.01 and 687.49

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Solution

The fourth proportional to 1,081.15, 1,491.01 and 687.49 is: 948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.15 : 1,491.01 = 687.49 : x
  2. Step 2: Convert to fraction form
    1,081.15/1,491.01 = 687.49/x
  3. Step 3: Cross multiply
    1,081.15x = 1,491.01 × 687.49
  4. Step 4: Simplify right side
    1,081.15x = 1,025,054.46
  5. Step 5: Solve for x
    x = 1,025,054.46/1,081.15
  6. Step 6: Final answer
    x = 948.11

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Why These Related Problems?

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