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Finding the Fourth Proportional to 712.77, 1,069.09 and 483.14

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Solution

The fourth proportional to 712.77, 1,069.09 and 483.14 is: 724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 1,069.09 = 483.14 : x
  2. Step 2: Convert to fraction form
    712.77/1,069.09 = 483.14/x
  3. Step 3: Cross multiply
    712.77x = 1,069.09 × 483.14
  4. Step 4: Simplify right side
    712.77x = 516,519.41
  5. Step 5: Solve for x
    x = 516,519.41/712.77
  6. Step 6: Final answer
    x = 724.66

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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.