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Finding the Fourth Proportional to 960.78, 1,325.84 and 567.74

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Solution

The fourth proportional to 960.78, 1,325.84 and 567.74 is: 783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,325.84 = 567.74 : x
  2. Step 2: Convert to fraction form
    960.78/1,325.84 = 567.74/x
  3. Step 3: Cross multiply
    960.78x = 1,325.84 × 567.74
  4. Step 4: Simplify right side
    960.78x = 752,732.40
  5. Step 5: Solve for x
    x = 752,732.40/960.78
  6. Step 6: Final answer
    x = 783.46

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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.