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Finding the Fourth Proportional to 1,329.42, 1,990.60 and 859.62

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Solution

The fourth proportional to 1,329.42, 1,990.60 and 859.62 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.42 : 1,990.60 = 859.62 : x
  2. Step 2: Convert to fraction form
    1,329.42/1,990.60 = 859.62/x
  3. Step 3: Cross multiply
    1,329.42x = 1,990.60 × 859.62
  4. Step 4: Simplify right side
    1,329.42x = 1,711,159.57
  5. Step 5: Solve for x
    x = 1,711,159.57/1,329.42
  6. Step 6: Final answer
    x = 1,287.15

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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.