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Finding the Fourth Proportional to 1,107.29, 1,661.17 and 925.95

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Solution

The fourth proportional to 1,107.29, 1,661.17 and 925.95 is: 1,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.29 : 1,661.17 = 925.95 : x
  2. Step 2: Convert to fraction form
    1,107.29/1,661.17 = 925.95/x
  3. Step 3: Cross multiply
    1,107.29x = 1,661.17 × 925.95
  4. Step 4: Simplify right side
    1,107.29x = 1,538,158.05
  5. Step 5: Solve for x
    x = 1,538,158.05/1,107.29
  6. Step 6: Final answer
    x = 1,389.12

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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.