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Finding the Fourth Proportional to 720.60, 994.34 and 405.84

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Solution

The fourth proportional to 720.60, 994.34 and 405.84 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.60 : 994.34 = 405.84 : x
  2. Step 2: Convert to fraction form
    720.60/994.34 = 405.84/x
  3. Step 3: Cross multiply
    720.60x = 994.34 × 405.84
  4. Step 4: Simplify right side
    720.60x = 403,542.95
  5. Step 5: Solve for x
    x = 403,542.95/720.60
  6. Step 6: Final answer
    x = 560.01

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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.