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Finding the Fourth Proportional to 1,035.62, 1,427.73 and 826.51

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Solution

The fourth proportional to 1,035.62, 1,427.73 and 826.51 is: 1,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.62 : 1,427.73 = 826.51 : x
  2. Step 2: Convert to fraction form
    1,035.62/1,427.73 = 826.51/x
  3. Step 3: Cross multiply
    1,035.62x = 1,427.73 × 826.51
  4. Step 4: Simplify right side
    1,035.62x = 1,180,033.12
  5. Step 5: Solve for x
    x = 1,180,033.12/1,035.62
  6. Step 6: Final answer
    x = 1,139.45

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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.