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Finding the Fourth Proportional to 719.95, 1,079.07 and 412.02

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Solution

The fourth proportional to 719.95, 1,079.07 and 412.02 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.95 : 1,079.07 = 412.02 : x
  2. Step 2: Convert to fraction form
    719.95/1,079.07 = 412.02/x
  3. Step 3: Cross multiply
    719.95x = 1,079.07 × 412.02
  4. Step 4: Simplify right side
    719.95x = 444,593.03
  5. Step 5: Solve for x
    x = 444,593.03/719.95
  6. Step 6: Final answer
    x = 617.53

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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.