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Finding the Fourth Proportional to 719.10, 1,073.52 and 668.52

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Solution

The fourth proportional to 719.10, 1,073.52 and 668.52 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.10 : 1,073.52 = 668.52 : x
  2. Step 2: Convert to fraction form
    719.10/1,073.52 = 668.52/x
  3. Step 3: Cross multiply
    719.10x = 1,073.52 × 668.52
  4. Step 4: Simplify right side
    719.10x = 717,669.59
  5. Step 5: Solve for x
    x = 717,669.59/719.10
  6. Step 6: Final answer
    x = 998.01

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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.