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Finding the Fourth Proportional to 960.18, 1,325.01 and 567.22

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Solution

The fourth proportional to 960.18, 1,325.01 and 567.22 is: 782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.18 : 1,325.01 = 567.22 : x
  2. Step 2: Convert to fraction form
    960.18/1,325.01 = 567.22/x
  3. Step 3: Cross multiply
    960.18x = 1,325.01 × 567.22
  4. Step 4: Simplify right side
    960.18x = 751,572.17
  5. Step 5: Solve for x
    x = 751,572.17/960.18
  6. Step 6: Final answer
    x = 782.74

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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.