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Finding the Fourth Proportional to 1,183.04, 1,774.52 and 317.36

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Solution

The fourth proportional to 1,183.04, 1,774.52 and 317.36 is: 476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.04 : 1,774.52 = 317.36 : x
  2. Step 2: Convert to fraction form
    1,183.04/1,774.52 = 317.36/x
  3. Step 3: Cross multiply
    1,183.04x = 1,774.52 × 317.36
  4. Step 4: Simplify right side
    1,183.04x = 563,161.67
  5. Step 5: Solve for x
    x = 563,161.67/1,183.04
  6. Step 6: Final answer
    x = 476.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.