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Finding the Fourth Proportional to 523.78, 784.95 and 461.86

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Solution

The fourth proportional to 523.78, 784.95 and 461.86 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 784.95 = 461.86 : x
  2. Step 2: Convert to fraction form
    523.78/784.95 = 461.86/x
  3. Step 3: Cross multiply
    523.78x = 784.95 × 461.86
  4. Step 4: Simplify right side
    523.78x = 362,537.01
  5. Step 5: Solve for x
    x = 362,537.01/523.78
  6. Step 6: Final answer
    x = 692.16

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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.