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Finding the Fourth Proportional to 1,464.55, 2,021.02 and 801.42

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Solution

The fourth proportional to 1,464.55, 2,021.02 and 801.42 is: 1,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.55 : 2,021.02 = 801.42 : x
  2. Step 2: Convert to fraction form
    1,464.55/2,021.02 = 801.42/x
  3. Step 3: Cross multiply
    1,464.55x = 2,021.02 × 801.42
  4. Step 4: Simplify right side
    1,464.55x = 1,619,685.85
  5. Step 5: Solve for x
    x = 1,619,685.85/1,464.55
  6. Step 6: Final answer
    x = 1,105.93

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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.