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Finding the Fourth Proportional to 720.90, 994.44 and 499.47

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Solution

The fourth proportional to 720.90, 994.44 and 499.47 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.90 : 994.44 = 499.47 : x
  2. Step 2: Convert to fraction form
    720.90/994.44 = 499.47/x
  3. Step 3: Cross multiply
    720.90x = 994.44 × 499.47
  4. Step 4: Simplify right side
    720.90x = 496,692.95
  5. Step 5: Solve for x
    x = 496,692.95/720.90
  6. Step 6: Final answer
    x = 688.99

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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.