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Finding the Fourth Proportional to 769.47, 1,154.36 and 282.57

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Solution

The fourth proportional to 769.47, 1,154.36 and 282.57 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.47 : 1,154.36 = 282.57 : x
  2. Step 2: Convert to fraction form
    769.47/1,154.36 = 282.57/x
  3. Step 3: Cross multiply
    769.47x = 1,154.36 × 282.57
  4. Step 4: Simplify right side
    769.47x = 326,187.51
  5. Step 5: Solve for x
    x = 326,187.51/769.47
  6. Step 6: Final answer
    x = 423.91

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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.