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Finding the Fourth Proportional to 1,466.36, 2,023.52 and 803.22

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Solution

The fourth proportional to 1,466.36, 2,023.52 and 803.22 is: 1,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.36 : 2,023.52 = 803.22 : x
  2. Step 2: Convert to fraction form
    1,466.36/2,023.52 = 803.22/x
  3. Step 3: Cross multiply
    1,466.36x = 2,023.52 × 803.22
  4. Step 4: Simplify right side
    1,466.36x = 1,625,331.73
  5. Step 5: Solve for x
    x = 1,625,331.73/1,466.36
  6. Step 6: Final answer
    x = 1,108.41

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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.