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Finding the Fourth Proportional to 1,162.53, 1,744.11 and 340.83

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Solution

The fourth proportional to 1,162.53, 1,744.11 and 340.83 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.53 : 1,744.11 = 340.83 : x
  2. Step 2: Convert to fraction form
    1,162.53/1,744.11 = 340.83/x
  3. Step 3: Cross multiply
    1,162.53x = 1,744.11 × 340.83
  4. Step 4: Simplify right side
    1,162.53x = 594,445.01
  5. Step 5: Solve for x
    x = 594,445.01/1,162.53
  6. Step 6: Final answer
    x = 511.34

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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.