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Finding the Fourth Proportional to 719.84, 1,078.75 and 411.23

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Solution

The fourth proportional to 719.84, 1,078.75 and 411.23 is: 616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.84 : 1,078.75 = 411.23 : x
  2. Step 2: Convert to fraction form
    719.84/1,078.75 = 411.23/x
  3. Step 3: Cross multiply
    719.84x = 1,078.75 × 411.23
  4. Step 4: Simplify right side
    719.84x = 443,617.57
  5. Step 5: Solve for x
    x = 443,617.57/719.84
  6. Step 6: Final answer
    x = 616.27

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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.