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Finding the Fourth Proportional to 1,017.57, 1,524.26 and 496.01

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Solution

The fourth proportional to 1,017.57, 1,524.26 and 496.01 is: 742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.57 : 1,524.26 = 496.01 : x
  2. Step 2: Convert to fraction form
    1,017.57/1,524.26 = 496.01/x
  3. Step 3: Cross multiply
    1,017.57x = 1,524.26 × 496.01
  4. Step 4: Simplify right side
    1,017.57x = 756,048.20
  5. Step 5: Solve for x
    x = 756,048.20/1,017.57
  6. Step 6: Final answer
    x = 742.99

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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.