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Finding the Fourth Proportional to 1,059.23, 1,588.89 and 328.82

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Solution

The fourth proportional to 1,059.23, 1,588.89 and 328.82 is: 493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.23 : 1,588.89 = 328.82 : x
  2. Step 2: Convert to fraction form
    1,059.23/1,588.89 = 328.82/x
  3. Step 3: Cross multiply
    1,059.23x = 1,588.89 × 328.82
  4. Step 4: Simplify right side
    1,059.23x = 522,450.87
  5. Step 5: Solve for x
    x = 522,450.87/1,059.23
  6. Step 6: Final answer
    x = 493.24

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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.