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Finding the Fourth Proportional to 902.51, 1,356.05 and 866.06

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Solution

The fourth proportional to 902.51, 1,356.05 and 866.06 is: 1,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.51 : 1,356.05 = 866.06 : x
  2. Step 2: Convert to fraction form
    902.51/1,356.05 = 866.06/x
  3. Step 3: Cross multiply
    902.51x = 1,356.05 × 866.06
  4. Step 4: Simplify right side
    902.51x = 1,174,416.33
  5. Step 5: Solve for x
    x = 1,174,416.33/902.51
  6. Step 6: Final answer
    x = 1,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.