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Finding the Fourth Proportional to 1,466.83, 2,024.27 and 803.73

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Solution

The fourth proportional to 1,466.83, 2,024.27 and 803.73 is: 1,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.83 : 2,024.27 = 803.73 : x
  2. Step 2: Convert to fraction form
    1,466.83/2,024.27 = 803.73/x
  3. Step 3: Cross multiply
    1,466.83x = 2,024.27 × 803.73
  4. Step 4: Simplify right side
    1,466.83x = 1,626,966.53
  5. Step 5: Solve for x
    x = 1,626,966.53/1,466.83
  6. Step 6: Final answer
    x = 1,109.17

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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.