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Finding the Fourth Proportional to 1,059.11, 1,586.90 and 365.39

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Solution

The fourth proportional to 1,059.11, 1,586.90 and 365.39 is: 547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.11 : 1,586.90 = 365.39 : x
  2. Step 2: Convert to fraction form
    1,059.11/1,586.90 = 365.39/x
  3. Step 3: Cross multiply
    1,059.11x = 1,586.90 × 365.39
  4. Step 4: Simplify right side
    1,059.11x = 579,827.63
  5. Step 5: Solve for x
    x = 579,827.63/1,059.11
  6. Step 6: Final answer
    x = 547.47

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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.