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Finding the Fourth Proportional to 1,224.99, 1,690.53 and 1,169.64

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Solution

The fourth proportional to 1,224.99, 1,690.53 and 1,169.64 is: 1,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.99 : 1,690.53 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    1,224.99/1,690.53 = 1,169.64/x
  3. Step 3: Cross multiply
    1,224.99x = 1,690.53 × 1,169.64
  4. Step 4: Simplify right side
    1,224.99x = 1,977,311.51
  5. Step 5: Solve for x
    x = 1,977,311.51/1,224.99
  6. Step 6: Final answer
    x = 1,614.15

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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.