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Finding the Fourth Proportional to 715.96, 1,073.96 and 282.88

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Solution

The fourth proportional to 715.96, 1,073.96 and 282.88 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.96 : 1,073.96 = 282.88 : x
  2. Step 2: Convert to fraction form
    715.96/1,073.96 = 282.88/x
  3. Step 3: Cross multiply
    715.96x = 1,073.96 × 282.88
  4. Step 4: Simplify right side
    715.96x = 303,801.80
  5. Step 5: Solve for x
    x = 303,801.80/715.96
  6. Step 6: Final answer
    x = 424.33

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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.