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Finding the Fourth Proportional to 944.14, 1,302.77 and 524.48

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Solution

The fourth proportional to 944.14, 1,302.77 and 524.48 is: 723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.14 : 1,302.77 = 524.48 : x
  2. Step 2: Convert to fraction form
    944.14/1,302.77 = 524.48/x
  3. Step 3: Cross multiply
    944.14x = 1,302.77 × 524.48
  4. Step 4: Simplify right side
    944.14x = 683,277.44
  5. Step 5: Solve for x
    x = 683,277.44/944.14
  6. Step 6: Final answer
    x = 723.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.