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Finding the Fourth Proportional to 1,170.75, 1,754.62 and 476.61

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Solution

The fourth proportional to 1,170.75, 1,754.62 and 476.61 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.75 : 1,754.62 = 476.61 : x
  2. Step 2: Convert to fraction form
    1,170.75/1,754.62 = 476.61/x
  3. Step 3: Cross multiply
    1,170.75x = 1,754.62 × 476.61
  4. Step 4: Simplify right side
    1,170.75x = 836,269.44
  5. Step 5: Solve for x
    x = 836,269.44/1,170.75
  6. Step 6: Final answer
    x = 714.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.