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Finding the Fourth Proportional to 727.49, 1,003.66 and 478.94

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Solution

The fourth proportional to 727.49, 1,003.66 and 478.94 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.49 : 1,003.66 = 478.94 : x
  2. Step 2: Convert to fraction form
    727.49/1,003.66 = 478.94/x
  3. Step 3: Cross multiply
    727.49x = 1,003.66 × 478.94
  4. Step 4: Simplify right side
    727.49x = 480,686.70
  5. Step 5: Solve for x
    x = 480,686.70/727.49
  6. Step 6: Final answer
    x = 660.74

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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.