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Finding the Fourth Proportional to 899.15, 1,339.43 and 871.94

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Solution

The fourth proportional to 899.15, 1,339.43 and 871.94 is: 1,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.15 : 1,339.43 = 871.94 : x
  2. Step 2: Convert to fraction form
    899.15/1,339.43 = 871.94/x
  3. Step 3: Cross multiply
    899.15x = 1,339.43 × 871.94
  4. Step 4: Simplify right side
    899.15x = 1,167,901.58
  5. Step 5: Solve for x
    x = 1,167,901.58/899.15
  6. Step 6: Final answer
    x = 1,298.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.