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Finding the Fourth Proportional to 727.02, 1,004.42 and 478.24

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Solution

The fourth proportional to 727.02, 1,004.42 and 478.24 is: 660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.02 : 1,004.42 = 478.24 : x
  2. Step 2: Convert to fraction form
    727.02/1,004.42 = 478.24/x
  3. Step 3: Cross multiply
    727.02x = 1,004.42 × 478.24
  4. Step 4: Simplify right side
    727.02x = 480,353.82
  5. Step 5: Solve for x
    x = 480,353.82/727.02
  6. Step 6: Final answer
    x = 660.72

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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.