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Finding the Fourth Proportional to 614.19, 847.65 and 577.14

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Solution

The fourth proportional to 614.19, 847.65 and 577.14 is: 796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.19 : 847.65 = 577.14 : x
  2. Step 2: Convert to fraction form
    614.19/847.65 = 577.14/x
  3. Step 3: Cross multiply
    614.19x = 847.65 × 577.14
  4. Step 4: Simplify right side
    614.19x = 489,212.72
  5. Step 5: Solve for x
    x = 489,212.72/614.19
  6. Step 6: Final answer
    x = 796.52

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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.