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Finding the Fourth Proportional to 960.98, 1,325.58 and 567.92

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Solution

The fourth proportional to 960.98, 1,325.58 and 567.92 is: 783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.98 : 1,325.58 = 567.92 : x
  2. Step 2: Convert to fraction form
    960.98/1,325.58 = 567.92/x
  3. Step 3: Cross multiply
    960.98x = 1,325.58 × 567.92
  4. Step 4: Simplify right side
    960.98x = 752,816.77
  5. Step 5: Solve for x
    x = 752,816.77/960.98
  6. Step 6: Final answer
    x = 783.39

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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.