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Finding the Fourth Proportional to 722.01, 997.52 and 473.24

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Solution

The fourth proportional to 722.01, 997.52 and 473.24 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.01 : 997.52 = 473.24 : x
  2. Step 2: Convert to fraction form
    722.01/997.52 = 473.24/x
  3. Step 3: Cross multiply
    722.01x = 997.52 × 473.24
  4. Step 4: Simplify right side
    722.01x = 472,066.49
  5. Step 5: Solve for x
    x = 472,066.49/722.01
  6. Step 6: Final answer
    x = 653.82

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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.