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Finding the Fourth Proportional to 826.84, 1,134.81 and 756.45

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Solution

The fourth proportional to 826.84, 1,134.81 and 756.45 is: 1,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,134.81 = 756.45 : x
  2. Step 2: Convert to fraction form
    826.84/1,134.81 = 756.45/x
  3. Step 3: Cross multiply
    826.84x = 1,134.81 × 756.45
  4. Step 4: Simplify right side
    826.84x = 858,427.02
  5. Step 5: Solve for x
    x = 858,427.02/826.84
  6. Step 6: Final answer
    x = 1,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.