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Finding the Fourth Proportional to 1,115.52, 1,537.44 and 765.60

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Solution

The fourth proportional to 1,115.52, 1,537.44 and 765.60 is: 1,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.52 : 1,537.44 = 765.60 : x
  2. Step 2: Convert to fraction form
    1,115.52/1,537.44 = 765.60/x
  3. Step 3: Cross multiply
    1,115.52x = 1,537.44 × 765.60
  4. Step 4: Simplify right side
    1,115.52x = 1,177,064.06
  5. Step 5: Solve for x
    x = 1,177,064.06/1,115.52
  6. Step 6: Final answer
    x = 1,055.17

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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.