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Finding the Fourth Proportional to 719.34, 1,077.12 and 394.26

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Solution

The fourth proportional to 719.34, 1,077.12 and 394.26 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 1,077.12 = 394.26 : x
  2. Step 2: Convert to fraction form
    719.34/1,077.12 = 394.26/x
  3. Step 3: Cross multiply
    719.34x = 1,077.12 × 394.26
  4. Step 4: Simplify right side
    719.34x = 424,665.33
  5. Step 5: Solve for x
    x = 424,665.33/719.34
  6. Step 6: Final answer
    x = 590.35

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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.