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Finding the Fourth Proportional to 871.51, 1,200.06 and 753.27

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Solution

The fourth proportional to 871.51, 1,200.06 and 753.27 is: 1,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.51 : 1,200.06 = 753.27 : x
  2. Step 2: Convert to fraction form
    871.51/1,200.06 = 753.27/x
  3. Step 3: Cross multiply
    871.51x = 1,200.06 × 753.27
  4. Step 4: Simplify right side
    871.51x = 903,969.20
  5. Step 5: Solve for x
    x = 903,969.20/871.51
  6. Step 6: Final answer
    x = 1,037.24

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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.