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Finding the Fourth Proportional to 1,132.96, 1,563.21 and 635.62

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Solution

The fourth proportional to 1,132.96, 1,563.21 and 635.62 is: 877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.96 : 1,563.21 = 635.62 : x
  2. Step 2: Convert to fraction form
    1,132.96/1,563.21 = 635.62/x
  3. Step 3: Cross multiply
    1,132.96x = 1,563.21 × 635.62
  4. Step 4: Simplify right side
    1,132.96x = 993,607.54
  5. Step 5: Solve for x
    x = 993,607.54/1,132.96
  6. Step 6: Final answer
    x = 877.00

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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.