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Finding the Fourth Proportional to 1,012.53, 1,394.10 and 887.49

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Solution

The fourth proportional to 1,012.53, 1,394.10 and 887.49 is: 1,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.53 : 1,394.10 = 887.49 : x
  2. Step 2: Convert to fraction form
    1,012.53/1,394.10 = 887.49/x
  3. Step 3: Cross multiply
    1,012.53x = 1,394.10 × 887.49
  4. Step 4: Simplify right side
    1,012.53x = 1,237,249.81
  5. Step 5: Solve for x
    x = 1,237,249.81/1,012.53
  6. Step 6: Final answer
    x = 1,221.94

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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.