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Finding the Fourth Proportional to 1,495.99, 2,247.97 and 766.05

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Solution

The fourth proportional to 1,495.99, 2,247.97 and 766.05 is: 1,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.99 : 2,247.97 = 766.05 : x
  2. Step 2: Convert to fraction form
    1,495.99/2,247.97 = 766.05/x
  3. Step 3: Cross multiply
    1,495.99x = 2,247.97 × 766.05
  4. Step 4: Simplify right side
    1,495.99x = 1,722,057.42
  5. Step 5: Solve for x
    x = 1,722,057.42/1,495.99
  6. Step 6: Final answer
    x = 1,151.12

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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.