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Finding the Fourth Proportional to 712.34, 1,069.50 and 365.92

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Solution

The fourth proportional to 712.34, 1,069.50 and 365.92 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,069.50 = 365.92 : x
  2. Step 2: Convert to fraction form
    712.34/1,069.50 = 365.92/x
  3. Step 3: Cross multiply
    712.34x = 1,069.50 × 365.92
  4. Step 4: Simplify right side
    712.34x = 391,351.44
  5. Step 5: Solve for x
    x = 391,351.44/712.34
  6. Step 6: Final answer
    x = 549.39

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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.