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Finding the Fourth Proportional to 1,133.10, 1,563.82 and 635.65

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Solution

The fourth proportional to 1,133.10, 1,563.82 and 635.65 is: 877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.10 : 1,563.82 = 635.65 : x
  2. Step 2: Convert to fraction form
    1,133.10/1,563.82 = 635.65/x
  3. Step 3: Cross multiply
    1,133.10x = 1,563.82 × 635.65
  4. Step 4: Simplify right side
    1,133.10x = 994,031.19
  5. Step 5: Solve for x
    x = 994,031.19/1,133.10
  6. Step 6: Final answer
    x = 877.27

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Why These Related Problems?

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