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Finding the Fourth Proportional to 1,319.41, 1,977.87 and 453.12

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Solution

The fourth proportional to 1,319.41, 1,977.87 and 453.12 is: 679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.41 : 1,977.87 = 453.12 : x
  2. Step 2: Convert to fraction form
    1,319.41/1,977.87 = 453.12/x
  3. Step 3: Cross multiply
    1,319.41x = 1,977.87 × 453.12
  4. Step 4: Simplify right side
    1,319.41x = 896,206.74
  5. Step 5: Solve for x
    x = 896,206.74/1,319.41
  6. Step 6: Final answer
    x = 679.25

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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.