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Finding the Fourth Proportional to 1,184.07, 1,774.81 and 453.48

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Solution

The fourth proportional to 1,184.07, 1,774.81 and 453.48 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.07 : 1,774.81 = 453.48 : x
  2. Step 2: Convert to fraction form
    1,184.07/1,774.81 = 453.48/x
  3. Step 3: Cross multiply
    1,184.07x = 1,774.81 × 453.48
  4. Step 4: Simplify right side
    1,184.07x = 804,834.75
  5. Step 5: Solve for x
    x = 804,834.75/1,184.07
  6. Step 6: Final answer
    x = 679.72

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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.