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Finding the Fourth Proportional to 1,474.63, 2,035.17 and 845.26

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Solution

The fourth proportional to 1,474.63, 2,035.17 and 845.26 is: 1,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.63 : 2,035.17 = 845.26 : x
  2. Step 2: Convert to fraction form
    1,474.63/2,035.17 = 845.26/x
  3. Step 3: Cross multiply
    1,474.63x = 2,035.17 × 845.26
  4. Step 4: Simplify right side
    1,474.63x = 1,720,242.71
  5. Step 5: Solve for x
    x = 1,720,242.71/1,474.63
  6. Step 6: Final answer
    x = 1,166.56

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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.