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Finding the Fourth Proportional to 1,155.25, 1,732.91 and 289.56

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Solution

The fourth proportional to 1,155.25, 1,732.91 and 289.56 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.25 : 1,732.91 = 289.56 : x
  2. Step 2: Convert to fraction form
    1,155.25/1,732.91 = 289.56/x
  3. Step 3: Cross multiply
    1,155.25x = 1,732.91 × 289.56
  4. Step 4: Simplify right side
    1,155.25x = 501,781.42
  5. Step 5: Solve for x
    x = 501,781.42/1,155.25
  6. Step 6: Final answer
    x = 434.35

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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.