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Finding the Fourth Proportional to 955.22, 1,431.12 and 584.84

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Solution

The fourth proportional to 955.22, 1,431.12 and 584.84 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.22 : 1,431.12 = 584.84 : x
  2. Step 2: Convert to fraction form
    955.22/1,431.12 = 584.84/x
  3. Step 3: Cross multiply
    955.22x = 1,431.12 × 584.84
  4. Step 4: Simplify right side
    955.22x = 836,981.99
  5. Step 5: Solve for x
    x = 836,981.99/955.22
  6. Step 6: Final answer
    x = 876.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.