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Finding the Fourth Proportional to 722.88, 997.65 and 460.85

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Solution

The fourth proportional to 722.88, 997.65 and 460.85 is: 636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 997.65 = 460.85 : x
  2. Step 2: Convert to fraction form
    722.88/997.65 = 460.85/x
  3. Step 3: Cross multiply
    722.88x = 997.65 × 460.85
  4. Step 4: Simplify right side
    722.88x = 459,762.01
  5. Step 5: Solve for x
    x = 459,762.01/722.88
  6. Step 6: Final answer
    x = 636.01

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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.