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Finding the Fourth Proportional to 923.01, 1,273.63 and 524.53

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Solution

The fourth proportional to 923.01, 1,273.63 and 524.53 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,273.63 = 524.53 : x
  2. Step 2: Convert to fraction form
    923.01/1,273.63 = 524.53/x
  3. Step 3: Cross multiply
    923.01x = 1,273.63 × 524.53
  4. Step 4: Simplify right side
    923.01x = 668,050.78
  5. Step 5: Solve for x
    x = 668,050.78/923.01
  6. Step 6: Final answer
    x = 723.78

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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.