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Finding the Fourth Proportional to 923.02, 1,273.83 and 524.70

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Solution

The fourth proportional to 923.02, 1,273.83 and 524.70 is: 724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.02 : 1,273.83 = 524.70 : x
  2. Step 2: Convert to fraction form
    923.02/1,273.83 = 524.70/x
  3. Step 3: Cross multiply
    923.02x = 1,273.83 × 524.70
  4. Step 4: Simplify right side
    923.02x = 668,380.22
  5. Step 5: Solve for x
    x = 668,380.22/923.02
  6. Step 6: Final answer
    x = 724.12

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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.