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Finding the Fourth Proportional to 1,059.05, 1,588.17 and 365.96

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Solution

The fourth proportional to 1,059.05, 1,588.17 and 365.96 is: 548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.05 : 1,588.17 = 365.96 : x
  2. Step 2: Convert to fraction form
    1,059.05/1,588.17 = 365.96/x
  3. Step 3: Cross multiply
    1,059.05x = 1,588.17 × 365.96
  4. Step 4: Simplify right side
    1,059.05x = 581,206.69
  5. Step 5: Solve for x
    x = 581,206.69/1,059.05
  6. Step 6: Final answer
    x = 548.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.