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Finding the Fourth Proportional to 1,523.24, 2,285.12 and 549.44

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Solution

The fourth proportional to 1,523.24, 2,285.12 and 549.44 is: 824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.24 : 2,285.12 = 549.44 : x
  2. Step 2: Convert to fraction form
    1,523.24/2,285.12 = 549.44/x
  3. Step 3: Cross multiply
    1,523.24x = 2,285.12 × 549.44
  4. Step 4: Simplify right side
    1,523.24x = 1,255,536.33
  5. Step 5: Solve for x
    x = 1,255,536.33/1,523.24
  6. Step 6: Final answer
    x = 824.25

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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.