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Finding the Fourth Proportional to 1,317.80, 1,977.66 and 452.84

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Solution

The fourth proportional to 1,317.80, 1,977.66 and 452.84 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.80 : 1,977.66 = 452.84 : x
  2. Step 2: Convert to fraction form
    1,317.80/1,977.66 = 452.84/x
  3. Step 3: Cross multiply
    1,317.80x = 1,977.66 × 452.84
  4. Step 4: Simplify right side
    1,317.80x = 895,563.55
  5. Step 5: Solve for x
    x = 895,563.55/1,317.80
  6. Step 6: Final answer
    x = 679.59

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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.