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Finding the Fourth Proportional to 1,115.16, 1,538.15 and 765.24

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Solution

The fourth proportional to 1,115.16, 1,538.15 and 765.24 is: 1,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.16 : 1,538.15 = 765.24 : x
  2. Step 2: Convert to fraction form
    1,115.16/1,538.15 = 765.24/x
  3. Step 3: Cross multiply
    1,115.16x = 1,538.15 × 765.24
  4. Step 4: Simplify right side
    1,115.16x = 1,177,053.91
  5. Step 5: Solve for x
    x = 1,177,053.91/1,115.16
  6. Step 6: Final answer
    x = 1,055.50

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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.