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Finding the Fourth Proportional to 684.15, 944.90 and 545.77

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Solution

The fourth proportional to 684.15, 944.90 and 545.77 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 944.90 = 545.77 : x
  2. Step 2: Convert to fraction form
    684.15/944.90 = 545.77/x
  3. Step 3: Cross multiply
    684.15x = 944.90 × 545.77
  4. Step 4: Simplify right side
    684.15x = 515,695.34
  5. Step 5: Solve for x
    x = 515,695.34/684.15
  6. Step 6: Final answer
    x = 753.78

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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.