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Finding the Fourth Proportional to 725.34, 1,000.47 and 463.25

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Solution

The fourth proportional to 725.34, 1,000.47 and 463.25 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,000.47 = 463.25 : x
  2. Step 2: Convert to fraction form
    725.34/1,000.47 = 463.25/x
  3. Step 3: Cross multiply
    725.34x = 1,000.47 × 463.25
  4. Step 4: Simplify right side
    725.34x = 463,462.73
  5. Step 5: Solve for x
    x = 463,462.73/725.34
  6. Step 6: Final answer
    x = 638.96

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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.