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Finding the Fourth Proportional to 1,115.78, 1,538.84 and 717.51

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Solution

The fourth proportional to 1,115.78, 1,538.84 and 717.51 is: 989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.78 : 1,538.84 = 717.51 : x
  2. Step 2: Convert to fraction form
    1,115.78/1,538.84 = 717.51/x
  3. Step 3: Cross multiply
    1,115.78x = 1,538.84 × 717.51
  4. Step 4: Simplify right side
    1,115.78x = 1,104,129.50
  5. Step 5: Solve for x
    x = 1,104,129.50/1,115.78
  6. Step 6: Final answer
    x = 989.56

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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.