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Finding the Fourth Proportional to 698.63, 963.77 and 418.77

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Solution

The fourth proportional to 698.63, 963.77 and 418.77 is: 577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 963.77 = 418.77 : x
  2. Step 2: Convert to fraction form
    698.63/963.77 = 418.77/x
  3. Step 3: Cross multiply
    698.63x = 963.77 × 418.77
  4. Step 4: Simplify right side
    698.63x = 403,595.87
  5. Step 5: Solve for x
    x = 403,595.87/698.63
  6. Step 6: Final answer
    x = 577.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.