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Finding the Fourth Proportional to 1,037.76, 1,430.81 and 871.61

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Solution

The fourth proportional to 1,037.76, 1,430.81 and 871.61 is: 1,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.76 : 1,430.81 = 871.61 : x
  2. Step 2: Convert to fraction form
    1,037.76/1,430.81 = 871.61/x
  3. Step 3: Cross multiply
    1,037.76x = 1,430.81 × 871.61
  4. Step 4: Simplify right side
    1,037.76x = 1,247,113.01
  5. Step 5: Solve for x
    x = 1,247,113.01/1,037.76
  6. Step 6: Final answer
    x = 1,201.73

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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.