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Finding the Fourth Proportional to 1,107.83, 1,528.94 and 635.78

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Solution

The fourth proportional to 1,107.83, 1,528.94 and 635.78 is: 877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.83 : 1,528.94 = 635.78 : x
  2. Step 2: Convert to fraction form
    1,107.83/1,528.94 = 635.78/x
  3. Step 3: Cross multiply
    1,107.83x = 1,528.94 × 635.78
  4. Step 4: Simplify right side
    1,107.83x = 972,069.47
  5. Step 5: Solve for x
    x = 972,069.47/1,107.83
  6. Step 6: Final answer
    x = 877.45

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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.