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Finding the Fourth Proportional to 719.16, 1,078.53 and 410.96

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Solution

The fourth proportional to 719.16, 1,078.53 and 410.96 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.16 : 1,078.53 = 410.96 : x
  2. Step 2: Convert to fraction form
    719.16/1,078.53 = 410.96/x
  3. Step 3: Cross multiply
    719.16x = 1,078.53 × 410.96
  4. Step 4: Simplify right side
    719.16x = 443,227.30
  5. Step 5: Solve for x
    x = 443,227.30/719.16
  6. Step 6: Final answer
    x = 616.31

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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.