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Finding the Fourth Proportional to 1,112.22, 1,537.78 and 925.64

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Solution

The fourth proportional to 1,112.22, 1,537.78 and 925.64 is: 1,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.22 : 1,537.78 = 925.64 : x
  2. Step 2: Convert to fraction form
    1,112.22/1,537.78 = 925.64/x
  3. Step 3: Cross multiply
    1,112.22x = 1,537.78 × 925.64
  4. Step 4: Simplify right side
    1,112.22x = 1,423,430.68
  5. Step 5: Solve for x
    x = 1,423,430.68/1,112.22
  6. Step 6: Final answer
    x = 1,279.81

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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.