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Finding the Fourth Proportional to 1,125.99, 1,553.62 and 827.70

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Solution

The fourth proportional to 1,125.99, 1,553.62 and 827.70 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.99 : 1,553.62 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,125.99/1,553.62 = 827.70/x
  3. Step 3: Cross multiply
    1,125.99x = 1,553.62 × 827.70
  4. Step 4: Simplify right side
    1,125.99x = 1,285,931.27
  5. Step 5: Solve for x
    x = 1,285,931.27/1,125.99
  6. Step 6: Final answer
    x = 1,142.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.