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Finding the Fourth Proportional to 1,126.56, 1,553.16 and 811.56

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Solution

The fourth proportional to 1,126.56, 1,553.16 and 811.56 is: 1,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.56 : 1,553.16 = 811.56 : x
  2. Step 2: Convert to fraction form
    1,126.56/1,553.16 = 811.56/x
  3. Step 3: Cross multiply
    1,126.56x = 1,553.16 × 811.56
  4. Step 4: Simplify right side
    1,126.56x = 1,260,482.53
  5. Step 5: Solve for x
    x = 1,260,482.53/1,126.56
  6. Step 6: Final answer
    x = 1,118.88

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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.