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Finding the Fourth Proportional to 1,465.91, 2,197.31 and 528.23

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Solution

The fourth proportional to 1,465.91, 2,197.31 and 528.23 is: 791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.91 : 2,197.31 = 528.23 : x
  2. Step 2: Convert to fraction form
    1,465.91/2,197.31 = 528.23/x
  3. Step 3: Cross multiply
    1,465.91x = 2,197.31 × 528.23
  4. Step 4: Simplify right side
    1,465.91x = 1,160,671.43
  5. Step 5: Solve for x
    x = 1,160,671.43/1,465.91
  6. Step 6: Final answer
    x = 791.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.