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Finding the Fourth Proportional to 1,329.55, 1,993.62 and 598.50

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Solution

The fourth proportional to 1,329.55, 1,993.62 and 598.50 is: 897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.55 : 1,993.62 = 598.50 : x
  2. Step 2: Convert to fraction form
    1,329.55/1,993.62 = 598.50/x
  3. Step 3: Cross multiply
    1,329.55x = 1,993.62 × 598.50
  4. Step 4: Simplify right side
    1,329.55x = 1,193,181.57
  5. Step 5: Solve for x
    x = 1,193,181.57/1,329.55
  6. Step 6: Final answer
    x = 897.43

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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.