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Finding the Fourth Proportional to 611.79, 918.87 and 524.14

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Solution

The fourth proportional to 611.79, 918.87 and 524.14 is: 787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.79 : 918.87 = 524.14 : x
  2. Step 2: Convert to fraction form
    611.79/918.87 = 524.14/x
  3. Step 3: Cross multiply
    611.79x = 918.87 × 524.14
  4. Step 4: Simplify right side
    611.79x = 481,614.84
  5. Step 5: Solve for x
    x = 481,614.84/611.79
  6. Step 6: Final answer
    x = 787.22

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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.