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Finding the Fourth Proportional to 1,466.46, 2,023.65 and 803.29

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Solution

The fourth proportional to 1,466.46, 2,023.65 and 803.29 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.46 : 2,023.65 = 803.29 : x
  2. Step 2: Convert to fraction form
    1,466.46/2,023.65 = 803.29/x
  3. Step 3: Cross multiply
    1,466.46x = 2,023.65 × 803.29
  4. Step 4: Simplify right side
    1,466.46x = 1,625,577.81
  5. Step 5: Solve for x
    x = 1,625,577.81/1,466.46
  6. Step 6: Final answer
    x = 1,108.50

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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.