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Finding the Fourth Proportional to 1,183.59, 1,774.47 and 817.32

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Solution

The fourth proportional to 1,183.59, 1,774.47 and 817.32 is: 1,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.59 : 1,774.47 = 817.32 : x
  2. Step 2: Convert to fraction form
    1,183.59/1,774.47 = 817.32/x
  3. Step 3: Cross multiply
    1,183.59x = 1,774.47 × 817.32
  4. Step 4: Simplify right side
    1,183.59x = 1,450,309.82
  5. Step 5: Solve for x
    x = 1,450,309.82/1,183.59
  6. Step 6: Final answer
    x = 1,225.35

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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.