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Finding the Fourth Proportional to 1,466.73, 2,024.13 and 803.64

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Solution

The fourth proportional to 1,466.73, 2,024.13 and 803.64 is: 1,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.73 : 2,024.13 = 803.64 : x
  2. Step 2: Convert to fraction form
    1,466.73/2,024.13 = 803.64/x
  3. Step 3: Cross multiply
    1,466.73x = 2,024.13 × 803.64
  4. Step 4: Simplify right side
    1,466.73x = 1,626,671.83
  5. Step 5: Solve for x
    x = 1,626,671.83/1,466.73
  6. Step 6: Final answer
    x = 1,109.05

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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.