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Finding the Fourth Proportional to 720.05, 994.59 and 650.07

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Solution

The fourth proportional to 720.05, 994.59 and 650.07 is: 897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.05 : 994.59 = 650.07 : x
  2. Step 2: Convert to fraction form
    720.05/994.59 = 650.07/x
  3. Step 3: Cross multiply
    720.05x = 994.59 × 650.07
  4. Step 4: Simplify right side
    720.05x = 646,553.12
  5. Step 5: Solve for x
    x = 646,553.12/720.05
  6. Step 6: Final answer
    x = 897.93

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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.