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Finding the Fourth Proportional to 1,465.86, 2,198.24 and 773.04

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Solution

The fourth proportional to 1,465.86, 2,198.24 and 773.04 is: 1,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.86 : 2,198.24 = 773.04 : x
  2. Step 2: Convert to fraction form
    1,465.86/2,198.24 = 773.04/x
  3. Step 3: Cross multiply
    1,465.86x = 2,198.24 × 773.04
  4. Step 4: Simplify right side
    1,465.86x = 1,699,327.45
  5. Step 5: Solve for x
    x = 1,699,327.45/1,465.86
  6. Step 6: Final answer
    x = 1,159.27

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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.