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Finding the Fourth Proportional to 884.40, 1,327.23 and 713.13

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Solution

The fourth proportional to 884.40, 1,327.23 and 713.13 is: 1,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,327.23 = 713.13 : x
  2. Step 2: Convert to fraction form
    884.40/1,327.23 = 713.13/x
  3. Step 3: Cross multiply
    884.40x = 1,327.23 × 713.13
  4. Step 4: Simplify right side
    884.40x = 946,490.02
  5. Step 5: Solve for x
    x = 946,490.02/884.40
  6. Step 6: Final answer
    x = 1,070.21

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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.