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Finding the Fourth Proportional to 1,524.57, 2,285.03 and 549.54

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Solution

The fourth proportional to 1,524.57, 2,285.03 and 549.54 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.57 : 2,285.03 = 549.54 : x
  2. Step 2: Convert to fraction form
    1,524.57/2,285.03 = 549.54/x
  3. Step 3: Cross multiply
    1,524.57x = 2,285.03 × 549.54
  4. Step 4: Simplify right side
    1,524.57x = 1,255,715.39
  5. Step 5: Solve for x
    x = 1,255,715.39/1,524.57
  6. Step 6: Final answer
    x = 823.65

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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.