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Finding the Fourth Proportional to 923.10, 1,385.28 and 484.49

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Solution

The fourth proportional to 923.10, 1,385.28 and 484.49 is: 727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,385.28 = 484.49 : x
  2. Step 2: Convert to fraction form
    923.10/1,385.28 = 484.49/x
  3. Step 3: Cross multiply
    923.10x = 1,385.28 × 484.49
  4. Step 4: Simplify right side
    923.10x = 671,147.38
  5. Step 5: Solve for x
    x = 671,147.38/923.10
  6. Step 6: Final answer
    x = 727.06

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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.