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Finding the Fourth Proportional to 959.83, 1,325.10 and 894.22

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Solution

The fourth proportional to 959.83, 1,325.10 and 894.22 is: 1,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.83 : 1,325.10 = 894.22 : x
  2. Step 2: Convert to fraction form
    959.83/1,325.10 = 894.22/x
  3. Step 3: Cross multiply
    959.83x = 1,325.10 × 894.22
  4. Step 4: Simplify right side
    959.83x = 1,184,930.92
  5. Step 5: Solve for x
    x = 1,184,930.92/959.83
  6. Step 6: Final answer
    x = 1,234.52

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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.