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Finding the Fourth Proportional to 1,108.91, 1,664.33 and 744.14

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Solution

The fourth proportional to 1,108.91, 1,664.33 and 744.14 is: 1,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.91 : 1,664.33 = 744.14 : x
  2. Step 2: Convert to fraction form
    1,108.91/1,664.33 = 744.14/x
  3. Step 3: Cross multiply
    1,108.91x = 1,664.33 × 744.14
  4. Step 4: Simplify right side
    1,108.91x = 1,238,482.48
  5. Step 5: Solve for x
    x = 1,238,482.48/1,108.91
  6. Step 6: Final answer
    x = 1,116.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.