Home / 1,017.28-1,524.30-583.48

Finding the Fourth Proportional to 1,017.28, 1,524.30 and 583.48

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Solution

The fourth proportional to 1,017.28, 1,524.30 and 583.48 is: 874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.28 : 1,524.30 = 583.48 : x
  2. Step 2: Convert to fraction form
    1,017.28/1,524.30 = 583.48/x
  3. Step 3: Cross multiply
    1,017.28x = 1,524.30 × 583.48
  4. Step 4: Simplify right side
    1,017.28x = 889,398.56
  5. Step 5: Solve for x
    x = 889,398.56/1,017.28
  6. Step 6: Final answer
    x = 874.29

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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.