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Finding the Fourth Proportional to 1,072.54, 1,609.41 and 586.12

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Solution

The fourth proportional to 1,072.54, 1,609.41 and 586.12 is: 879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.54 : 1,609.41 = 586.12 : x
  2. Step 2: Convert to fraction form
    1,072.54/1,609.41 = 586.12/x
  3. Step 3: Cross multiply
    1,072.54x = 1,609.41 × 586.12
  4. Step 4: Simplify right side
    1,072.54x = 943,307.39
  5. Step 5: Solve for x
    x = 943,307.39/1,072.54
  6. Step 6: Final answer
    x = 879.51

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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.