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Finding the Fourth Proportional to 786.22, 1,175.84 and 700.14

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Solution

The fourth proportional to 786.22, 1,175.84 and 700.14 is: 1,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.22 : 1,175.84 = 700.14 : x
  2. Step 2: Convert to fraction form
    786.22/1,175.84 = 700.14/x
  3. Step 3: Cross multiply
    786.22x = 1,175.84 × 700.14
  4. Step 4: Simplify right side
    786.22x = 823,252.62
  5. Step 5: Solve for x
    x = 823,252.62/786.22
  6. Step 6: Final answer
    x = 1,047.10

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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.