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Finding the Fourth Proportional to 1,133.19, 1,563.66 and 635.83

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Solution

The fourth proportional to 1,133.19, 1,563.66 and 635.83 is: 877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.19 : 1,563.66 = 635.83 : x
  2. Step 2: Convert to fraction form
    1,133.19/1,563.66 = 635.83/x
  3. Step 3: Cross multiply
    1,133.19x = 1,563.66 × 635.83
  4. Step 4: Simplify right side
    1,133.19x = 994,218.03
  5. Step 5: Solve for x
    x = 994,218.03/1,133.19
  6. Step 6: Final answer
    x = 877.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.