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Finding the Fourth Proportional to 1,059.14, 1,588.99 and 401.03

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Solution

The fourth proportional to 1,059.14, 1,588.99 and 401.03 is: 601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.14 : 1,588.99 = 401.03 : x
  2. Step 2: Convert to fraction form
    1,059.14/1,588.99 = 401.03/x
  3. Step 3: Cross multiply
    1,059.14x = 1,588.99 × 401.03
  4. Step 4: Simplify right side
    1,059.14x = 637,232.66
  5. Step 5: Solve for x
    x = 637,232.66/1,059.14
  6. Step 6: Final answer
    x = 601.65

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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.