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Finding the Fourth Proportional to 651.20, 898.32 and 577.60

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Solution

The fourth proportional to 651.20, 898.32 and 577.60 is: 796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.20 : 898.32 = 577.60 : x
  2. Step 2: Convert to fraction form
    651.20/898.32 = 577.60/x
  3. Step 3: Cross multiply
    651.20x = 898.32 × 577.60
  4. Step 4: Simplify right side
    651.20x = 518,869.63
  5. Step 5: Solve for x
    x = 518,869.63/651.20
  6. Step 6: Final answer
    x = 796.79

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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.