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Finding the Fourth Proportional to 719.24, 1,078.72 and 286.28

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Solution

The fourth proportional to 719.24, 1,078.72 and 286.28 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.24 : 1,078.72 = 286.28 : x
  2. Step 2: Convert to fraction form
    719.24/1,078.72 = 286.28/x
  3. Step 3: Cross multiply
    719.24x = 1,078.72 × 286.28
  4. Step 4: Simplify right side
    719.24x = 308,815.96
  5. Step 5: Solve for x
    x = 308,815.96/719.24
  6. Step 6: Final answer
    x = 429.36

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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.