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Finding the Fourth Proportional to 545.60, 822.40 and 531.20

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Solution

The fourth proportional to 545.60, 822.40 and 531.20 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 822.40 = 531.20 : x
  2. Step 2: Convert to fraction form
    545.60/822.40 = 531.20/x
  3. Step 3: Cross multiply
    545.60x = 822.40 × 531.20
  4. Step 4: Simplify right side
    545.60x = 436,858.88
  5. Step 5: Solve for x
    x = 436,858.88/545.60
  6. Step 6: Final answer
    x = 800.69

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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.