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Finding the Fourth Proportional to 1,155.83, 1,732.58 and 415.22

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Solution

The fourth proportional to 1,155.83, 1,732.58 and 415.22 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.83 : 1,732.58 = 415.22 : x
  2. Step 2: Convert to fraction form
    1,155.83/1,732.58 = 415.22/x
  3. Step 3: Cross multiply
    1,155.83x = 1,732.58 × 415.22
  4. Step 4: Simplify right side
    1,155.83x = 719,399.79
  5. Step 5: Solve for x
    x = 719,399.79/1,155.83
  6. Step 6: Final answer
    x = 622.41

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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.