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Finding the Fourth Proportional to 610.68, 916.04 and 523.47

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Solution

The fourth proportional to 610.68, 916.04 and 523.47 is: 785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 916.04 = 523.47 : x
  2. Step 2: Convert to fraction form
    610.68/916.04 = 523.47/x
  3. Step 3: Cross multiply
    610.68x = 916.04 × 523.47
  4. Step 4: Simplify right side
    610.68x = 479,524.20
  5. Step 5: Solve for x
    x = 479,524.20/610.68
  6. Step 6: Final answer
    x = 785.23

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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.