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Finding the Fourth Proportional to 1,115.38, 1,536.06 and 866.26

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Solution

The fourth proportional to 1,115.38, 1,536.06 and 866.26 is: 1,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.38 : 1,536.06 = 866.26 : x
  2. Step 2: Convert to fraction form
    1,115.38/1,536.06 = 866.26/x
  3. Step 3: Cross multiply
    1,115.38x = 1,536.06 × 866.26
  4. Step 4: Simplify right side
    1,115.38x = 1,330,627.34
  5. Step 5: Solve for x
    x = 1,330,627.34/1,115.38
  6. Step 6: Final answer
    x = 1,192.98

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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.