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Finding the Fourth Proportional to 786.77, 1,179.32 and 266.30

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Solution

The fourth proportional to 786.77, 1,179.32 and 266.30 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,179.32 = 266.30 : x
  2. Step 2: Convert to fraction form
    786.77/1,179.32 = 266.30/x
  3. Step 3: Cross multiply
    786.77x = 1,179.32 × 266.30
  4. Step 4: Simplify right side
    786.77x = 314,045.69
  5. Step 5: Solve for x
    x = 314,045.69/786.77
  6. Step 6: Final answer
    x = 399.16

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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.