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Finding the Fourth Proportional to 725.49, 1,001.30 and 430.77

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Solution

The fourth proportional to 725.49, 1,001.30 and 430.77 is: 594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.49 : 1,001.30 = 430.77 : x
  2. Step 2: Convert to fraction form
    725.49/1,001.30 = 430.77/x
  3. Step 3: Cross multiply
    725.49x = 1,001.30 × 430.77
  4. Step 4: Simplify right side
    725.49x = 431,327.85
  5. Step 5: Solve for x
    x = 431,327.85/725.49
  6. Step 6: Final answer
    x = 594.54

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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.