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Finding the Fourth Proportional to 690.63, 1,036.05 and 382.62

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Solution

The fourth proportional to 690.63, 1,036.05 and 382.62 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.63 : 1,036.05 = 382.62 : x
  2. Step 2: Convert to fraction form
    690.63/1,036.05 = 382.62/x
  3. Step 3: Cross multiply
    690.63x = 1,036.05 × 382.62
  4. Step 4: Simplify right side
    690.63x = 396,413.45
  5. Step 5: Solve for x
    x = 396,413.45/690.63
  6. Step 6: Final answer
    x = 573.99

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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.