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Finding the Fourth Proportional to 805.53, 1,206.23 and 558.38

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Solution

The fourth proportional to 805.53, 1,206.23 and 558.38 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.53 : 1,206.23 = 558.38 : x
  2. Step 2: Convert to fraction form
    805.53/1,206.23 = 558.38/x
  3. Step 3: Cross multiply
    805.53x = 1,206.23 × 558.38
  4. Step 4: Simplify right side
    805.53x = 673,534.71
  5. Step 5: Solve for x
    x = 673,534.71/805.53
  6. Step 6: Final answer
    x = 836.14

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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.