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Finding the Fourth Proportional to 1,163.74, 1,746.84 and 505.93

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Solution

The fourth proportional to 1,163.74, 1,746.84 and 505.93 is: 759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.74 : 1,746.84 = 505.93 : x
  2. Step 2: Convert to fraction form
    1,163.74/1,746.84 = 505.93/x
  3. Step 3: Cross multiply
    1,163.74x = 1,746.84 × 505.93
  4. Step 4: Simplify right side
    1,163.74x = 883,778.76
  5. Step 5: Solve for x
    x = 883,778.76/1,163.74
  6. Step 6: Final answer
    x = 759.43

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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.