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Finding the Fourth Proportional to 1,170.30, 1,755.45 and 304.61

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Solution

The fourth proportional to 1,170.30, 1,755.45 and 304.61 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.30 : 1,755.45 = 304.61 : x
  2. Step 2: Convert to fraction form
    1,170.30/1,755.45 = 304.61/x
  3. Step 3: Cross multiply
    1,170.30x = 1,755.45 × 304.61
  4. Step 4: Simplify right side
    1,170.30x = 534,718.85
  5. Step 5: Solve for x
    x = 534,718.85/1,170.30
  6. Step 6: Final answer
    x = 456.91

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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.