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Finding the Fourth Proportional to 1,466.46, 2,023.72 and 803.31

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Solution

The fourth proportional to 1,466.46, 2,023.72 and 803.31 is: 1,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.46 : 2,023.72 = 803.31 : x
  2. Step 2: Convert to fraction form
    1,466.46/2,023.72 = 803.31/x
  3. Step 3: Cross multiply
    1,466.46x = 2,023.72 × 803.31
  4. Step 4: Simplify right side
    1,466.46x = 1,625,674.51
  5. Step 5: Solve for x
    x = 1,625,674.51/1,466.46
  6. Step 6: Final answer
    x = 1,108.57

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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.