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Finding the Fourth Proportional to 783.06, 1,168.41 and 694.91

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Solution

The fourth proportional to 783.06, 1,168.41 and 694.91 is: 1,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,168.41 = 694.91 : x
  2. Step 2: Convert to fraction form
    783.06/1,168.41 = 694.91/x
  3. Step 3: Cross multiply
    783.06x = 1,168.41 × 694.91
  4. Step 4: Simplify right side
    783.06x = 811,933.95
  5. Step 5: Solve for x
    x = 811,933.95/783.06
  6. Step 6: Final answer
    x = 1,036.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.