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Finding the Fourth Proportional to 545.60, 822.92 and 509.60

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Solution

The fourth proportional to 545.60, 822.92 and 509.60 is: 768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 822.92 = 509.60 : x
  2. Step 2: Convert to fraction form
    545.60/822.92 = 509.60/x
  3. Step 3: Cross multiply
    545.60x = 822.92 × 509.60
  4. Step 4: Simplify right side
    545.60x = 419,360.03
  5. Step 5: Solve for x
    x = 419,360.03/545.60
  6. Step 6: Final answer
    x = 768.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.