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Finding the Fourth Proportional to 1,170.46, 1,616.34 and 1,013.50

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Solution

The fourth proportional to 1,170.46, 1,616.34 and 1,013.50 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.46 : 1,616.34 = 1,013.50 : x
  2. Step 2: Convert to fraction form
    1,170.46/1,616.34 = 1,013.50/x
  3. Step 3: Cross multiply
    1,170.46x = 1,616.34 × 1,013.50
  4. Step 4: Simplify right side
    1,170.46x = 1,638,160.59
  5. Step 5: Solve for x
    x = 1,638,160.59/1,170.46
  6. Step 6: Final answer
    x = 1,399.59

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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.