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Finding the Fourth Proportional to 794, 1,184.98 and 786.32

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Solution

The fourth proportional to 794, 1,184.98 and 786.32 is: 1,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    794 : 1,184.98 = 786.32 : x
  2. Step 2: Convert to fraction form
    794/1,184.98 = 786.32/x
  3. Step 3: Cross multiply
    794x = 1,184.98 × 786.32
  4. Step 4: Simplify right side
    794x = 931,773.47
  5. Step 5: Solve for x
    x = 931,773.47/794
  6. Step 6: Final answer
    x = 1,173.52

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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.