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Finding the Fourth Proportional to 781.65, 1,172.00 and 261.51

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Solution

The fourth proportional to 781.65, 1,172.00 and 261.51 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,172.00 = 261.51 : x
  2. Step 2: Convert to fraction form
    781.65/1,172.00 = 261.51/x
  3. Step 3: Cross multiply
    781.65x = 1,172.00 × 261.51
  4. Step 4: Simplify right side
    781.65x = 306,485.98
  5. Step 5: Solve for x
    x = 306,485.98/781.65
  6. Step 6: Final answer
    x = 392.10

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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.