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Finding the Fourth Proportional to 1,318.64, 1,977.46 and 452.80

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Solution

The fourth proportional to 1,318.64, 1,977.46 and 452.80 is: 679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.64 : 1,977.46 = 452.80 : x
  2. Step 2: Convert to fraction form
    1,318.64/1,977.46 = 452.80/x
  3. Step 3: Cross multiply
    1,318.64x = 1,977.46 × 452.80
  4. Step 4: Simplify right side
    1,318.64x = 895,393.89
  5. Step 5: Solve for x
    x = 895,393.89/1,318.64
  6. Step 6: Final answer
    x = 679.03

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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.