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Finding the Fourth Proportional to 781.76, 1,172.76 and 261.84

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Solution

The fourth proportional to 781.76, 1,172.76 and 261.84 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.76 : 1,172.76 = 261.84 : x
  2. Step 2: Convert to fraction form
    781.76/1,172.76 = 261.84/x
  3. Step 3: Cross multiply
    781.76x = 1,172.76 × 261.84
  4. Step 4: Simplify right side
    781.76x = 307,075.48
  5. Step 5: Solve for x
    x = 307,075.48/781.76
  6. Step 6: Final answer
    x = 392.80

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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.