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Finding the Fourth Proportional to 719.52, 988.16 and 602.88

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Solution

The fourth proportional to 719.52, 988.16 and 602.88 is: 827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 988.16 = 602.88 : x
  2. Step 2: Convert to fraction form
    719.52/988.16 = 602.88/x
  3. Step 3: Cross multiply
    719.52x = 988.16 × 602.88
  4. Step 4: Simplify right side
    719.52x = 595,741.90
  5. Step 5: Solve for x
    x = 595,741.90/719.52
  6. Step 6: Final answer
    x = 827.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.