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Finding the Fourth Proportional to 1,162.53, 1,743.86 and 459.74

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Solution

The fourth proportional to 1,162.53, 1,743.86 and 459.74 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.53 : 1,743.86 = 459.74 : x
  2. Step 2: Convert to fraction form
    1,162.53/1,743.86 = 459.74/x
  3. Step 3: Cross multiply
    1,162.53x = 1,743.86 × 459.74
  4. Step 4: Simplify right side
    1,162.53x = 801,724.26
  5. Step 5: Solve for x
    x = 801,724.26/1,162.53
  6. Step 6: Final answer
    x = 689.64

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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.