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Finding the Fourth Proportional to 1,169.83, 1,755.33 and 476.83

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Solution

The fourth proportional to 1,169.83, 1,755.33 and 476.83 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.83 : 1,755.33 = 476.83 : x
  2. Step 2: Convert to fraction form
    1,169.83/1,755.33 = 476.83/x
  3. Step 3: Cross multiply
    1,169.83x = 1,755.33 × 476.83
  4. Step 4: Simplify right side
    1,169.83x = 836,994.00
  5. Step 5: Solve for x
    x = 836,994.00/1,169.83
  6. Step 6: Final answer
    x = 715.48

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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.