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Finding the Fourth Proportional to 883.03, 1,322.57 and 866.09

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Solution

The fourth proportional to 883.03, 1,322.57 and 866.09 is: 1,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.03 : 1,322.57 = 866.09 : x
  2. Step 2: Convert to fraction form
    883.03/1,322.57 = 866.09/x
  3. Step 3: Cross multiply
    883.03x = 1,322.57 × 866.09
  4. Step 4: Simplify right side
    883.03x = 1,145,460.32
  5. Step 5: Solve for x
    x = 1,145,460.32/883.03
  6. Step 6: Final answer
    x = 1,297.20

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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.