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Finding the Fourth Proportional to 1,016.35, 1,524.53 and 583.87

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Solution

The fourth proportional to 1,016.35, 1,524.53 and 583.87 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.35 : 1,524.53 = 583.87 : x
  2. Step 2: Convert to fraction form
    1,016.35/1,524.53 = 583.87/x
  3. Step 3: Cross multiply
    1,016.35x = 1,524.53 × 583.87
  4. Step 4: Simplify right side
    1,016.35x = 890,127.33
  5. Step 5: Solve for x
    x = 890,127.33/1,016.35
  6. Step 6: Final answer
    x = 875.81

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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.