Home / 1,511.24-2,266.32-523.79

Finding the Fourth Proportional to 1,511.24, 2,266.32 and 523.79

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Solution

The fourth proportional to 1,511.24, 2,266.32 and 523.79 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.24 : 2,266.32 = 523.79 : x
  2. Step 2: Convert to fraction form
    1,511.24/2,266.32 = 523.79/x
  3. Step 3: Cross multiply
    1,511.24x = 2,266.32 × 523.79
  4. Step 4: Simplify right side
    1,511.24x = 1,187,070.96
  5. Step 5: Solve for x
    x = 1,187,070.96/1,511.24
  6. Step 6: Final answer
    x = 785.49

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Half scale
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Double scale
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1.5x scale

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.