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Finding the Fourth Proportional to 1,108.94, 1,659.76 and 987.44

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Solution

The fourth proportional to 1,108.94, 1,659.76 and 987.44 is: 1,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.94 : 1,659.76 = 987.44 : x
  2. Step 2: Convert to fraction form
    1,108.94/1,659.76 = 987.44/x
  3. Step 3: Cross multiply
    1,108.94x = 1,659.76 × 987.44
  4. Step 4: Simplify right side
    1,108.94x = 1,638,902.65
  5. Step 5: Solve for x
    x = 1,638,902.65/1,108.94
  6. Step 6: Final answer
    x = 1,477.91

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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.