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Finding the Fourth Proportional to 1,125.42, 1,553.73 and 857.76

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Solution

The fourth proportional to 1,125.42, 1,553.73 and 857.76 is: 1,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.42 : 1,553.73 = 857.76 : x
  2. Step 2: Convert to fraction form
    1,125.42/1,553.73 = 857.76/x
  3. Step 3: Cross multiply
    1,125.42x = 1,553.73 × 857.76
  4. Step 4: Simplify right side
    1,125.42x = 1,332,727.44
  5. Step 5: Solve for x
    x = 1,332,727.44/1,125.42
  6. Step 6: Final answer
    x = 1,184.20

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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.