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Finding the Fourth Proportional to 1,059.24, 1,588.30 and 365.67

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Solution

The fourth proportional to 1,059.24, 1,588.30 and 365.67 is: 548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.24 : 1,588.30 = 365.67 : x
  2. Step 2: Convert to fraction form
    1,059.24/1,588.30 = 365.67/x
  3. Step 3: Cross multiply
    1,059.24x = 1,588.30 × 365.67
  4. Step 4: Simplify right side
    1,059.24x = 580,793.66
  5. Step 5: Solve for x
    x = 580,793.66/1,059.24
  6. Step 6: Final answer
    x = 548.31

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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.