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Finding the Fourth Proportional to 1,112.74, 1,535.76 and 664.62

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Solution

The fourth proportional to 1,112.74, 1,535.76 and 664.62 is: 917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.74 : 1,535.76 = 664.62 : x
  2. Step 2: Convert to fraction form
    1,112.74/1,535.76 = 664.62/x
  3. Step 3: Cross multiply
    1,112.74x = 1,535.76 × 664.62
  4. Step 4: Simplify right side
    1,112.74x = 1,020,691.05
  5. Step 5: Solve for x
    x = 1,020,691.05/1,112.74
  6. Step 6: Final answer
    x = 917.28

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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.