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Finding the Fourth Proportional to 1,055.00, 1,581.59 and 405.29

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Solution

The fourth proportional to 1,055.00, 1,581.59 and 405.29 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.00 : 1,581.59 = 405.29 : x
  2. Step 2: Convert to fraction form
    1,055.00/1,581.59 = 405.29/x
  3. Step 3: Cross multiply
    1,055.00x = 1,581.59 × 405.29
  4. Step 4: Simplify right side
    1,055.00x = 641,007.58
  5. Step 5: Solve for x
    x = 641,007.58/1,055.00
  6. Step 6: Final answer
    x = 607.59

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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.