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Finding the Fourth Proportional to 1,376.12, 2,064.38 and 402.09

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Solution

The fourth proportional to 1,376.12, 2,064.38 and 402.09 is: 603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.12 : 2,064.38 = 402.09 : x
  2. Step 2: Convert to fraction form
    1,376.12/2,064.38 = 402.09/x
  3. Step 3: Cross multiply
    1,376.12x = 2,064.38 × 402.09
  4. Step 4: Simplify right side
    1,376.12x = 830,064.54
  5. Step 5: Solve for x
    x = 830,064.54/1,376.12
  6. Step 6: Final answer
    x = 603.19

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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.