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Finding the Fourth Proportional to 1,466.50, 2,023.80 and 803.31

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Solution

The fourth proportional to 1,466.50, 2,023.80 and 803.31 is: 1,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.50 : 2,023.80 = 803.31 : x
  2. Step 2: Convert to fraction form
    1,466.50/2,023.80 = 803.31/x
  3. Step 3: Cross multiply
    1,466.50x = 2,023.80 × 803.31
  4. Step 4: Simplify right side
    1,466.50x = 1,625,735.77
  5. Step 5: Solve for x
    x = 1,625,735.77/1,466.50
  6. Step 6: Final answer
    x = 1,108.58

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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.