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Finding the Fourth Proportional to 1,599.45, 2,398.67 and 559.23

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Solution

The fourth proportional to 1,599.45, 2,398.67 and 559.23 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.45 : 2,398.67 = 559.23 : x
  2. Step 2: Convert to fraction form
    1,599.45/2,398.67 = 559.23/x
  3. Step 3: Cross multiply
    1,599.45x = 2,398.67 × 559.23
  4. Step 4: Simplify right side
    1,599.45x = 1,341,405.43
  5. Step 5: Solve for x
    x = 1,341,405.43/1,599.45
  6. Step 6: Final answer
    x = 838.67

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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.