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Finding the Fourth Proportional to 1,258.77, 1,735.94 and 833.22

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Solution

The fourth proportional to 1,258.77, 1,735.94 and 833.22 is: 1,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.77 : 1,735.94 = 833.22 : x
  2. Step 2: Convert to fraction form
    1,258.77/1,735.94 = 833.22/x
  3. Step 3: Cross multiply
    1,258.77x = 1,735.94 × 833.22
  4. Step 4: Simplify right side
    1,258.77x = 1,446,419.93
  5. Step 5: Solve for x
    x = 1,446,419.93/1,258.77
  6. Step 6: Final answer
    x = 1,149.07

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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.