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Finding the Fourth Proportional to 722.79, 997.61 and 460.75

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Solution

The fourth proportional to 722.79, 997.61 and 460.75 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.79 : 997.61 = 460.75 : x
  2. Step 2: Convert to fraction form
    722.79/997.61 = 460.75/x
  3. Step 3: Cross multiply
    722.79x = 997.61 × 460.75
  4. Step 4: Simplify right side
    722.79x = 459,648.81
  5. Step 5: Solve for x
    x = 459,648.81/722.79
  6. Step 6: Final answer
    x = 635.94

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Half scale
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Double scale
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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.