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Finding the Fourth Proportional to 1,155.24, 1,732.42 and 414.65

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Solution

The fourth proportional to 1,155.24, 1,732.42 and 414.65 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.24 : 1,732.42 = 414.65 : x
  2. Step 2: Convert to fraction form
    1,155.24/1,732.42 = 414.65/x
  3. Step 3: Cross multiply
    1,155.24x = 1,732.42 × 414.65
  4. Step 4: Simplify right side
    1,155.24x = 718,337.22
  5. Step 5: Solve for x
    x = 718,337.22/1,155.24
  6. Step 6: Final answer
    x = 621.81

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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.