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Finding the Fourth Proportional to 960.76, 1,325.97 and 587.76

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Solution

The fourth proportional to 960.76, 1,325.97 and 587.76 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.76 : 1,325.97 = 587.76 : x
  2. Step 2: Convert to fraction form
    960.76/1,325.97 = 587.76/x
  3. Step 3: Cross multiply
    960.76x = 1,325.97 × 587.76
  4. Step 4: Simplify right side
    960.76x = 779,347.15
  5. Step 5: Solve for x
    x = 779,347.15/960.76
  6. Step 6: Final answer
    x = 811.18

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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.