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Finding the Fourth Proportional to 727.35, 1,003.08 and 478.57

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Solution

The fourth proportional to 727.35, 1,003.08 and 478.57 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.35 : 1,003.08 = 478.57 : x
  2. Step 2: Convert to fraction form
    727.35/1,003.08 = 478.57/x
  3. Step 3: Cross multiply
    727.35x = 1,003.08 × 478.57
  4. Step 4: Simplify right side
    727.35x = 480,044.00
  5. Step 5: Solve for x
    x = 480,044.00/727.35
  6. Step 6: Final answer
    x = 659.99

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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.