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Finding the Fourth Proportional to 1,132.74, 1,563.06 and 635.25

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Solution

The fourth proportional to 1,132.74, 1,563.06 and 635.25 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.74 : 1,563.06 = 635.25 : x
  2. Step 2: Convert to fraction form
    1,132.74/1,563.06 = 635.25/x
  3. Step 3: Cross multiply
    1,132.74x = 1,563.06 × 635.25
  4. Step 4: Simplify right side
    1,132.74x = 992,933.87
  5. Step 5: Solve for x
    x = 992,933.87/1,132.74
  6. Step 6: Final answer
    x = 876.58

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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.