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Finding the Fourth Proportional to 854.87, 1,184.59 and 802.85

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Solution

The fourth proportional to 854.87, 1,184.59 and 802.85 is: 1,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.87 : 1,184.59 = 802.85 : x
  2. Step 2: Convert to fraction form
    854.87/1,184.59 = 802.85/x
  3. Step 3: Cross multiply
    854.87x = 1,184.59 × 802.85
  4. Step 4: Simplify right side
    854.87x = 951,045.12
  5. Step 5: Solve for x
    x = 951,045.12/854.87
  6. Step 6: Final answer
    x = 1,112.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.