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Finding the Fourth Proportional to 1,111.91, 1,534.70 and 872.15

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Solution

The fourth proportional to 1,111.91, 1,534.70 and 872.15 is: 1,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.91 : 1,534.70 = 872.15 : x
  2. Step 2: Convert to fraction form
    1,111.91/1,534.70 = 872.15/x
  3. Step 3: Cross multiply
    1,111.91x = 1,534.70 × 872.15
  4. Step 4: Simplify right side
    1,111.91x = 1,338,476.57
  5. Step 5: Solve for x
    x = 1,338,476.57/1,111.91
  6. Step 6: Final answer
    x = 1,203.77

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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.