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Finding the Fourth Proportional to 723.09, 997.61 and 461.55

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Solution

The fourth proportional to 723.09, 997.61 and 461.55 is: 636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 997.61 = 461.55 : x
  2. Step 2: Convert to fraction form
    723.09/997.61 = 461.55/x
  3. Step 3: Cross multiply
    723.09x = 997.61 × 461.55
  4. Step 4: Simplify right side
    723.09x = 460,444.59
  5. Step 5: Solve for x
    x = 460,444.59/723.09
  6. Step 6: Final answer
    x = 636.77

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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.