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Finding the Fourth Proportional to 1,373.10, 2,059.67 and 399.16

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Solution

The fourth proportional to 1,373.10, 2,059.67 and 399.16 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.10 : 2,059.67 = 399.16 : x
  2. Step 2: Convert to fraction form
    1,373.10/2,059.67 = 399.16/x
  3. Step 3: Cross multiply
    1,373.10x = 2,059.67 × 399.16
  4. Step 4: Simplify right side
    1,373.10x = 822,137.88
  5. Step 5: Solve for x
    x = 822,137.88/1,373.10
  6. Step 6: Final answer
    x = 598.75

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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.