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Finding the Fourth Proportional to 963.17, 1,328.85 and 785.82

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Solution

The fourth proportional to 963.17, 1,328.85 and 785.82 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.17 : 1,328.85 = 785.82 : x
  2. Step 2: Convert to fraction form
    963.17/1,328.85 = 785.82/x
  3. Step 3: Cross multiply
    963.17x = 1,328.85 × 785.82
  4. Step 4: Simplify right side
    963.17x = 1,044,236.91
  5. Step 5: Solve for x
    x = 1,044,236.91/963.17
  6. Step 6: Final answer
    x = 1,084.17

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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.