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Finding the Fourth Proportional to 1,068.18, 1,474.36 and 696.08

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Solution

The fourth proportional to 1,068.18, 1,474.36 and 696.08 is: 960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.18 : 1,474.36 = 696.08 : x
  2. Step 2: Convert to fraction form
    1,068.18/1,474.36 = 696.08/x
  3. Step 3: Cross multiply
    1,068.18x = 1,474.36 × 696.08
  4. Step 4: Simplify right side
    1,068.18x = 1,026,272.51
  5. Step 5: Solve for x
    x = 1,026,272.51/1,068.18
  6. Step 6: Final answer
    x = 960.77

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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.