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Finding the Fourth Proportional to 1,068.59, 1,599.55 and 809.56

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Solution

The fourth proportional to 1,068.59, 1,599.55 and 809.56 is: 1,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.59 : 1,599.55 = 809.56 : x
  2. Step 2: Convert to fraction form
    1,068.59/1,599.55 = 809.56/x
  3. Step 3: Cross multiply
    1,068.59x = 1,599.55 × 809.56
  4. Step 4: Simplify right side
    1,068.59x = 1,294,931.67
  5. Step 5: Solve for x
    x = 1,294,931.67/1,068.59
  6. Step 6: Final answer
    x = 1,211.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.