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Finding the Fourth Proportional to 1,332.56, 1,997.12 and 845.44

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Solution

The fourth proportional to 1,332.56, 1,997.12 and 845.44 is: 1,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.56 : 1,997.12 = 845.44 : x
  2. Step 2: Convert to fraction form
    1,332.56/1,997.12 = 845.44/x
  3. Step 3: Cross multiply
    1,332.56x = 1,997.12 × 845.44
  4. Step 4: Simplify right side
    1,332.56x = 1,688,445.13
  5. Step 5: Solve for x
    x = 1,688,445.13/1,332.56
  6. Step 6: Final answer
    x = 1,267.07

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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.