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Finding the Fourth Proportional to 1,068.77, 1,474.91 and 596.69

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Solution

The fourth proportional to 1,068.77, 1,474.91 and 596.69 is: 823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.77 : 1,474.91 = 596.69 : x
  2. Step 2: Convert to fraction form
    1,068.77/1,474.91 = 596.69/x
  3. Step 3: Cross multiply
    1,068.77x = 1,474.91 × 596.69
  4. Step 4: Simplify right side
    1,068.77x = 880,053.69
  5. Step 5: Solve for x
    x = 880,053.69/1,068.77
  6. Step 6: Final answer
    x = 823.43

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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.