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Finding the Fourth Proportional to 1,466.60, 2,023.96 and 803.42

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Solution

The fourth proportional to 1,466.60, 2,023.96 and 803.42 is: 1,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.60 : 2,023.96 = 803.42 : x
  2. Step 2: Convert to fraction form
    1,466.60/2,023.96 = 803.42/x
  3. Step 3: Cross multiply
    1,466.60x = 2,023.96 × 803.42
  4. Step 4: Simplify right side
    1,466.60x = 1,626,089.94
  5. Step 5: Solve for x
    x = 1,626,089.94/1,466.60
  6. Step 6: Final answer
    x = 1,108.75

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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.