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Finding the Fourth Proportional to 1,466.59, 2,023.94 and 803.42

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Solution

The fourth proportional to 1,466.59, 2,023.94 and 803.42 is: 1,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.59 : 2,023.94 = 803.42 : x
  2. Step 2: Convert to fraction form
    1,466.59/2,023.94 = 803.42/x
  3. Step 3: Cross multiply
    1,466.59x = 2,023.94 × 803.42
  4. Step 4: Simplify right side
    1,466.59x = 1,626,073.87
  5. Step 5: Solve for x
    x = 1,626,073.87/1,466.59
  6. Step 6: Final answer
    x = 1,108.74

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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.