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Finding the Fourth Proportional to 1,016.24, 1,523.76 and 357.80

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Solution

The fourth proportional to 1,016.24, 1,523.76 and 357.80 is: 536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.24 : 1,523.76 = 357.80 : x
  2. Step 2: Convert to fraction form
    1,016.24/1,523.76 = 357.80/x
  3. Step 3: Cross multiply
    1,016.24x = 1,523.76 × 357.80
  4. Step 4: Simplify right side
    1,016.24x = 545,201.33
  5. Step 5: Solve for x
    x = 545,201.33/1,016.24
  6. Step 6: Final answer
    x = 536.49

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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.