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Finding the Fourth Proportional to 1,258.48, 1,737.66 and 866.44

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Solution

The fourth proportional to 1,258.48, 1,737.66 and 866.44 is: 1,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.48 : 1,737.66 = 866.44 : x
  2. Step 2: Convert to fraction form
    1,258.48/1,737.66 = 866.44/x
  3. Step 3: Cross multiply
    1,258.48x = 1,737.66 × 866.44
  4. Step 4: Simplify right side
    1,258.48x = 1,505,578.13
  5. Step 5: Solve for x
    x = 1,505,578.13/1,258.48
  6. Step 6: Final answer
    x = 1,196.35

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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.