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Finding the Fourth Proportional to 1,109.84, 1,661.51 and 876.56

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Solution

The fourth proportional to 1,109.84, 1,661.51 and 876.56 is: 1,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.84 : 1,661.51 = 876.56 : x
  2. Step 2: Convert to fraction form
    1,109.84/1,661.51 = 876.56/x
  3. Step 3: Cross multiply
    1,109.84x = 1,661.51 × 876.56
  4. Step 4: Simplify right side
    1,109.84x = 1,456,407.09
  5. Step 5: Solve for x
    x = 1,456,407.09/1,109.84
  6. Step 6: Final answer
    x = 1,312.27

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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.