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Finding the Fourth Proportional to 1,170.70, 1,615.65 and 646.73

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Solution

The fourth proportional to 1,170.70, 1,615.65 and 646.73 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.70 : 1,615.65 = 646.73 : x
  2. Step 2: Convert to fraction form
    1,170.70/1,615.65 = 646.73/x
  3. Step 3: Cross multiply
    1,170.70x = 1,615.65 × 646.73
  4. Step 4: Simplify right side
    1,170.70x = 1,044,893.97
  5. Step 5: Solve for x
    x = 1,044,893.97/1,170.70
  6. Step 6: Final answer
    x = 892.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.