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Finding the Fourth Proportional to 1,107.19, 1,661.81 and 559.76

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Solution

The fourth proportional to 1,107.19, 1,661.81 and 559.76 is: 840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.19 : 1,661.81 = 559.76 : x
  2. Step 2: Convert to fraction form
    1,107.19/1,661.81 = 559.76/x
  3. Step 3: Cross multiply
    1,107.19x = 1,661.81 × 559.76
  4. Step 4: Simplify right side
    1,107.19x = 930,206.46
  5. Step 5: Solve for x
    x = 930,206.46/1,107.19
  6. Step 6: Final answer
    x = 840.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.