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Finding the Fourth Proportional to 722.72, 997.21 and 460.69

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Solution

The fourth proportional to 722.72, 997.21 and 460.69 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.72 : 997.21 = 460.69 : x
  2. Step 2: Convert to fraction form
    722.72/997.21 = 460.69/x
  3. Step 3: Cross multiply
    722.72x = 997.21 × 460.69
  4. Step 4: Simplify right side
    722.72x = 459,402.76
  5. Step 5: Solve for x
    x = 459,402.76/722.72
  6. Step 6: Final answer
    x = 635.66

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1.5x scale

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.