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Finding the Fourth Proportional to 866.93, 1,196.16 and 837.29

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Solution

The fourth proportional to 866.93, 1,196.16 and 837.29 is: 1,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.93 : 1,196.16 = 837.29 : x
  2. Step 2: Convert to fraction form
    866.93/1,196.16 = 837.29/x
  3. Step 3: Cross multiply
    866.93x = 1,196.16 × 837.29
  4. Step 4: Simplify right side
    866.93x = 1,001,532.81
  5. Step 5: Solve for x
    x = 1,001,532.81/866.93
  6. Step 6: Final answer
    x = 1,155.26

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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.