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Finding the Fourth Proportional to 1,328.15, 1,993.48 and 598.07

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Solution

The fourth proportional to 1,328.15, 1,993.48 and 598.07 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.15 : 1,993.48 = 598.07 : x
  2. Step 2: Convert to fraction form
    1,328.15/1,993.48 = 598.07/x
  3. Step 3: Cross multiply
    1,328.15x = 1,993.48 × 598.07
  4. Step 4: Simplify right side
    1,328.15x = 1,192,229.12
  5. Step 5: Solve for x
    x = 1,192,229.12/1,328.15
  6. Step 6: Final answer
    x = 897.66

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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.