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Finding the Fourth Proportional to 719.73, 1,070.96 and 717.30

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Solution

The fourth proportional to 719.73, 1,070.96 and 717.30 is: 1,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.73 : 1,070.96 = 717.30 : x
  2. Step 2: Convert to fraction form
    719.73/1,070.96 = 717.30/x
  3. Step 3: Cross multiply
    719.73x = 1,070.96 × 717.30
  4. Step 4: Simplify right side
    719.73x = 768,196.02
  5. Step 5: Solve for x
    x = 768,196.02/719.73
  6. Step 6: Final answer
    x = 1,067.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.