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Finding the Fourth Proportional to 1,068.35, 1,473.72 and 684.37

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Solution

The fourth proportional to 1,068.35, 1,473.72 and 684.37 is: 944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.35 : 1,473.72 = 684.37 : x
  2. Step 2: Convert to fraction form
    1,068.35/1,473.72 = 684.37/x
  3. Step 3: Cross multiply
    1,068.35x = 1,473.72 × 684.37
  4. Step 4: Simplify right side
    1,068.35x = 1,008,569.76
  5. Step 5: Solve for x
    x = 1,008,569.76/1,068.35
  6. Step 6: Final answer
    x = 944.04

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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.