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Finding the Fourth Proportional to 722.69, 997.31 and 461.16

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Solution

The fourth proportional to 722.69, 997.31 and 461.16 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.69 : 997.31 = 461.16 : x
  2. Step 2: Convert to fraction form
    722.69/997.31 = 461.16/x
  3. Step 3: Cross multiply
    722.69x = 997.31 × 461.16
  4. Step 4: Simplify right side
    722.69x = 459,920.63
  5. Step 5: Solve for x
    x = 459,920.63/722.69
  6. Step 6: Final answer
    x = 636.40

Related Problems

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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.