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Finding the Fourth Proportional to 1,122.26, 1,682.51 and 575.10

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Solution

The fourth proportional to 1,122.26, 1,682.51 and 575.10 is: 862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.26 : 1,682.51 = 575.10 : x
  2. Step 2: Convert to fraction form
    1,122.26/1,682.51 = 575.10/x
  3. Step 3: Cross multiply
    1,122.26x = 1,682.51 × 575.10
  4. Step 4: Simplify right side
    1,122.26x = 967,608.63
  5. Step 5: Solve for x
    x = 967,608.63/1,122.26
  6. Step 6: Final answer
    x = 862.20

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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.