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Finding the Fourth Proportional to 719.20, 989.04 and 601.12

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Solution

The fourth proportional to 719.20, 989.04 and 601.12 is: 826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.20 : 989.04 = 601.12 : x
  2. Step 2: Convert to fraction form
    719.20/989.04 = 601.12/x
  3. Step 3: Cross multiply
    719.20x = 989.04 × 601.12
  4. Step 4: Simplify right side
    719.20x = 594,531.72
  5. Step 5: Solve for x
    x = 594,531.72/719.20
  6. Step 6: Final answer
    x = 826.66

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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.