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Finding the Fourth Proportional to 786.32, 1,179.02 and 461

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Solution

The fourth proportional to 786.32, 1,179.02 and 461 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.32 : 1,179.02 = 461 : x
  2. Step 2: Convert to fraction form
    786.32/1,179.02 = 461/x
  3. Step 3: Cross multiply
    786.32x = 1,179.02 × 461
  4. Step 4: Simplify right side
    786.32x = 543,528.22
  5. Step 5: Solve for x
    x = 543,528.22/786.32
  6. Step 6: Final answer
    x = 691.23

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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.