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Finding the Fourth Proportional to 1,462.81, 2,194.60 and 525.85

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Solution

The fourth proportional to 1,462.81, 2,194.60 and 525.85 is: 788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.81 : 2,194.60 = 525.85 : x
  2. Step 2: Convert to fraction form
    1,462.81/2,194.60 = 525.85/x
  3. Step 3: Cross multiply
    1,462.81x = 2,194.60 × 525.85
  4. Step 4: Simplify right side
    1,462.81x = 1,154,039.40
  5. Step 5: Solve for x
    x = 1,154,039.40/1,462.81
  6. Step 6: Final answer
    x = 788.92

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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.