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Finding the Fourth Proportional to 1,107.65, 1,661.47 and 338.15

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Solution

The fourth proportional to 1,107.65, 1,661.47 and 338.15 is: 507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.65 : 1,661.47 = 338.15 : x
  2. Step 2: Convert to fraction form
    1,107.65/1,661.47 = 338.15/x
  3. Step 3: Cross multiply
    1,107.65x = 1,661.47 × 338.15
  4. Step 4: Simplify right side
    1,107.65x = 561,826.08
  5. Step 5: Solve for x
    x = 561,826.08/1,107.65
  6. Step 6: Final answer
    x = 507.22

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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.