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Finding the Fourth Proportional to 712.82, 1,069.10 and 279.88

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Solution

The fourth proportional to 712.82, 1,069.10 and 279.88 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,069.10 = 279.88 : x
  2. Step 2: Convert to fraction form
    712.82/1,069.10 = 279.88/x
  3. Step 3: Cross multiply
    712.82x = 1,069.10 × 279.88
  4. Step 4: Simplify right side
    712.82x = 299,219.71
  5. Step 5: Solve for x
    x = 299,219.71/712.82
  6. Step 6: Final answer
    x = 419.77

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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.