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Finding the Fourth Proportional to 1,281.68, 1,923.68 and 795.68

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Solution

The fourth proportional to 1,281.68, 1,923.68 and 795.68 is: 1,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.68 : 1,923.68 = 795.68 : x
  2. Step 2: Convert to fraction form
    1,281.68/1,923.68 = 795.68/x
  3. Step 3: Cross multiply
    1,281.68x = 1,923.68 × 795.68
  4. Step 4: Simplify right side
    1,281.68x = 1,530,633.70
  5. Step 5: Solve for x
    x = 1,530,633.70/1,281.68
  6. Step 6: Final answer
    x = 1,194.24

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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.