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Finding the Fourth Proportional to 695.53, 1,043.34 and 567.01

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Solution

The fourth proportional to 695.53, 1,043.34 and 567.01 is: 850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.53 : 1,043.34 = 567.01 : x
  2. Step 2: Convert to fraction form
    695.53/1,043.34 = 567.01/x
  3. Step 3: Cross multiply
    695.53x = 1,043.34 × 567.01
  4. Step 4: Simplify right side
    695.53x = 591,584.21
  5. Step 5: Solve for x
    x = 591,584.21/695.53
  6. Step 6: Final answer
    x = 850.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.