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Finding the Fourth Proportional to 690.84, 1,036.44 and 382.64

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Solution

The fourth proportional to 690.84, 1,036.44 and 382.64 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,036.44 = 382.64 : x
  2. Step 2: Convert to fraction form
    690.84/1,036.44 = 382.64/x
  3. Step 3: Cross multiply
    690.84x = 1,036.44 × 382.64
  4. Step 4: Simplify right side
    690.84x = 396,583.40
  5. Step 5: Solve for x
    x = 396,583.40/690.84
  6. Step 6: Final answer
    x = 574.06

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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.