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Finding the Fourth Proportional to 1,132.54, 1,698.81 and 310.82

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Solution

The fourth proportional to 1,132.54, 1,698.81 and 310.82 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.54 : 1,698.81 = 310.82 : x
  2. Step 2: Convert to fraction form
    1,132.54/1,698.81 = 310.82/x
  3. Step 3: Cross multiply
    1,132.54x = 1,698.81 × 310.82
  4. Step 4: Simplify right side
    1,132.54x = 528,022.57
  5. Step 5: Solve for x
    x = 528,022.57/1,132.54
  6. Step 6: Final answer
    x = 466.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.