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Finding the Fourth Proportional to 610.74, 842.07 and 522.06

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Solution

The fourth proportional to 610.74, 842.07 and 522.06 is: 719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 842.07 = 522.06 : x
  2. Step 2: Convert to fraction form
    610.74/842.07 = 522.06/x
  3. Step 3: Cross multiply
    610.74x = 842.07 × 522.06
  4. Step 4: Simplify right side
    610.74x = 439,611.06
  5. Step 5: Solve for x
    x = 439,611.06/610.74
  6. Step 6: Final answer
    x = 719.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.