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Finding the Fourth Proportional to 1,491.59, 2,236.78 and 760.77

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Solution

The fourth proportional to 1,491.59, 2,236.78 and 760.77 is: 1,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.59 : 2,236.78 = 760.77 : x
  2. Step 2: Convert to fraction form
    1,491.59/2,236.78 = 760.77/x
  3. Step 3: Cross multiply
    1,491.59x = 2,236.78 × 760.77
  4. Step 4: Simplify right side
    1,491.59x = 1,701,675.12
  5. Step 5: Solve for x
    x = 1,701,675.12/1,491.59
  6. Step 6: Final answer
    x = 1,140.85

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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.