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Finding the Fourth Proportional to 1,132.22, 1,698.27 and 482.48

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Solution

The fourth proportional to 1,132.22, 1,698.27 and 482.48 is: 723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.22 : 1,698.27 = 482.48 : x
  2. Step 2: Convert to fraction form
    1,132.22/1,698.27 = 482.48/x
  3. Step 3: Cross multiply
    1,132.22x = 1,698.27 × 482.48
  4. Step 4: Simplify right side
    1,132.22x = 819,381.31
  5. Step 5: Solve for x
    x = 819,381.31/1,132.22
  6. Step 6: Final answer
    x = 723.69

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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.