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Finding the Fourth Proportional to 1,016.76, 1,524.20 and 529.23

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Solution

The fourth proportional to 1,016.76, 1,524.20 and 529.23 is: 793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.76 : 1,524.20 = 529.23 : x
  2. Step 2: Convert to fraction form
    1,016.76/1,524.20 = 529.23/x
  3. Step 3: Cross multiply
    1,016.76x = 1,524.20 × 529.23
  4. Step 4: Simplify right side
    1,016.76x = 806,649.72
  5. Step 5: Solve for x
    x = 806,649.72/1,016.76
  6. Step 6: Final answer
    x = 793.35

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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.