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Finding the Fourth Proportional to 1,072.59, 1,609.08 and 610.89

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Solution

The fourth proportional to 1,072.59, 1,609.08 and 610.89 is: 916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.59 : 1,609.08 = 610.89 : x
  2. Step 2: Convert to fraction form
    1,072.59/1,609.08 = 610.89/x
  3. Step 3: Cross multiply
    1,072.59x = 1,609.08 × 610.89
  4. Step 4: Simplify right side
    1,072.59x = 982,970.88
  5. Step 5: Solve for x
    x = 982,970.88/1,072.59
  6. Step 6: Final answer
    x = 916.45

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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.