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Finding the Fourth Proportional to 936.69, 1,405.35 and 589.62

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Solution

The fourth proportional to 936.69, 1,405.35 and 589.62 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.69 : 1,405.35 = 589.62 : x
  2. Step 2: Convert to fraction form
    936.69/1,405.35 = 589.62/x
  3. Step 3: Cross multiply
    936.69x = 1,405.35 × 589.62
  4. Step 4: Simplify right side
    936.69x = 828,622.47
  5. Step 5: Solve for x
    x = 828,622.47/936.69
  6. Step 6: Final answer
    x = 884.63

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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.