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Finding the Fourth Proportional to 717.51, 1,076.53 and 443.29

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Solution

The fourth proportional to 717.51, 1,076.53 and 443.29 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.51 : 1,076.53 = 443.29 : x
  2. Step 2: Convert to fraction form
    717.51/1,076.53 = 443.29/x
  3. Step 3: Cross multiply
    717.51x = 1,076.53 × 443.29
  4. Step 4: Simplify right side
    717.51x = 477,214.98
  5. Step 5: Solve for x
    x = 477,214.98/717.51
  6. Step 6: Final answer
    x = 665.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.