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Finding the Fourth Proportional to 1,016.33, 1,524.91 and 553.52

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Solution

The fourth proportional to 1,016.33, 1,524.91 and 553.52 is: 830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.33 : 1,524.91 = 553.52 : x
  2. Step 2: Convert to fraction form
    1,016.33/1,524.91 = 553.52/x
  3. Step 3: Cross multiply
    1,016.33x = 1,524.91 × 553.52
  4. Step 4: Simplify right side
    1,016.33x = 844,068.18
  5. Step 5: Solve for x
    x = 844,068.18/1,016.33
  6. Step 6: Final answer
    x = 830.51

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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.