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Finding the Fourth Proportional to 712.87, 1,069.41 and 302.06

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Solution

The fourth proportional to 712.87, 1,069.41 and 302.06 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.87 : 1,069.41 = 302.06 : x
  2. Step 2: Convert to fraction form
    712.87/1,069.41 = 302.06/x
  3. Step 3: Cross multiply
    712.87x = 1,069.41 × 302.06
  4. Step 4: Simplify right side
    712.87x = 323,025.98
  5. Step 5: Solve for x
    x = 323,025.98/712.87
  6. Step 6: Final answer
    x = 453.13

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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.