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Finding the Fourth Proportional to 1,466.45, 2,023.84 and 803.41

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Solution

The fourth proportional to 1,466.45, 2,023.84 and 803.41 is: 1,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.45 : 2,023.84 = 803.41 : x
  2. Step 2: Convert to fraction form
    1,466.45/2,023.84 = 803.41/x
  3. Step 3: Cross multiply
    1,466.45x = 2,023.84 × 803.41
  4. Step 4: Simplify right side
    1,466.45x = 1,625,963.18
  5. Step 5: Solve for x
    x = 1,625,963.18/1,466.45
  6. Step 6: Final answer
    x = 1,108.78

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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.