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Finding the Fourth Proportional to 1,317.81, 1,977.21 and 452.19

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Solution

The fourth proportional to 1,317.81, 1,977.21 and 452.19 is: 678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.81 : 1,977.21 = 452.19 : x
  2. Step 2: Convert to fraction form
    1,317.81/1,977.21 = 452.19/x
  3. Step 3: Cross multiply
    1,317.81x = 1,977.21 × 452.19
  4. Step 4: Simplify right side
    1,317.81x = 894,074.59
  5. Step 5: Solve for x
    x = 894,074.59/1,317.81
  6. Step 6: Final answer
    x = 678.45

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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.