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Finding the Fourth Proportional to 1,146.96, 1,582.34 and 797.85

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Solution

The fourth proportional to 1,146.96, 1,582.34 and 797.85 is: 1,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.96 : 1,582.34 = 797.85 : x
  2. Step 2: Convert to fraction form
    1,146.96/1,582.34 = 797.85/x
  3. Step 3: Cross multiply
    1,146.96x = 1,582.34 × 797.85
  4. Step 4: Simplify right side
    1,146.96x = 1,262,465.98
  5. Step 5: Solve for x
    x = 1,262,465.98/1,146.96
  6. Step 6: Final answer
    x = 1,100.71

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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.