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Finding the Fourth Proportional to 719.71, 1,078.36 and 546.17

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Solution

The fourth proportional to 719.71, 1,078.36 and 546.17 is: 818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.71 : 1,078.36 = 546.17 : x
  2. Step 2: Convert to fraction form
    719.71/1,078.36 = 546.17/x
  3. Step 3: Cross multiply
    719.71x = 1,078.36 × 546.17
  4. Step 4: Simplify right side
    719.71x = 588,967.88
  5. Step 5: Solve for x
    x = 588,967.88/719.71
  6. Step 6: Final answer
    x = 818.34

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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.