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Finding the Fourth Proportional to 545.25, 818.91 and 523.07

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Solution

The fourth proportional to 545.25, 818.91 and 523.07 is: 785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 818.91 = 523.07 : x
  2. Step 2: Convert to fraction form
    545.25/818.91 = 523.07/x
  3. Step 3: Cross multiply
    545.25x = 818.91 × 523.07
  4. Step 4: Simplify right side
    545.25x = 428,347.25
  5. Step 5: Solve for x
    x = 428,347.25/545.25
  6. Step 6: Final answer
    x = 785.60

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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.