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Finding the Fourth Proportional to 960.54, 1,325.66 and 587.44

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Solution

The fourth proportional to 960.54, 1,325.66 and 587.44 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.54 : 1,325.66 = 587.44 : x
  2. Step 2: Convert to fraction form
    960.54/1,325.66 = 587.44/x
  3. Step 3: Cross multiply
    960.54x = 1,325.66 × 587.44
  4. Step 4: Simplify right side
    960.54x = 778,745.71
  5. Step 5: Solve for x
    x = 778,745.71/960.54
  6. Step 6: Final answer
    x = 810.74

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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.