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Finding the Fourth Proportional to 719.52, 1,078.20 and 411.46

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Solution

The fourth proportional to 719.52, 1,078.20 and 411.46 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 1,078.20 = 411.46 : x
  2. Step 2: Convert to fraction form
    719.52/1,078.20 = 411.46/x
  3. Step 3: Cross multiply
    719.52x = 1,078.20 × 411.46
  4. Step 4: Simplify right side
    719.52x = 443,636.17
  5. Step 5: Solve for x
    x = 443,636.17/719.52
  6. Step 6: Final answer
    x = 616.57

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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.