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Finding the Fourth Proportional to 1,311.20, 1,808.52 and 845

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Solution

The fourth proportional to 1,311.20, 1,808.52 and 845 is: 1,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.20 : 1,808.52 = 845 : x
  2. Step 2: Convert to fraction form
    1,311.20/1,808.52 = 845/x
  3. Step 3: Cross multiply
    1,311.20x = 1,808.52 × 845
  4. Step 4: Simplify right side
    1,311.20x = 1,528,199.40
  5. Step 5: Solve for x
    x = 1,528,199.40/1,311.20
  6. Step 6: Final answer
    x = 1,165.50

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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.