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Finding the Fourth Proportional to 952.59, 1,428.89 and 805.91

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Solution

The fourth proportional to 952.59, 1,428.89 and 805.91 is: 1,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.59 : 1,428.89 = 805.91 : x
  2. Step 2: Convert to fraction form
    952.59/1,428.89 = 805.91/x
  3. Step 3: Cross multiply
    952.59x = 1,428.89 × 805.91
  4. Step 4: Simplify right side
    952.59x = 1,151,556.74
  5. Step 5: Solve for x
    x = 1,151,556.74/952.59
  6. Step 6: Final answer
    x = 1,208.87

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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.