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Finding the Fourth Proportional to 1,466.45, 2,023.67 and 803.29

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Solution

The fourth proportional to 1,466.45, 2,023.67 and 803.29 is: 1,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.45 : 2,023.67 = 803.29 : x
  2. Step 2: Convert to fraction form
    1,466.45/2,023.67 = 803.29/x
  3. Step 3: Cross multiply
    1,466.45x = 2,023.67 × 803.29
  4. Step 4: Simplify right side
    1,466.45x = 1,625,589.86
  5. Step 5: Solve for x
    x = 1,625,589.86/1,466.45
  6. Step 6: Final answer
    x = 1,108.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.