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Finding the Fourth Proportional to 1,328.92, 1,993.16 and 355.04

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Solution

The fourth proportional to 1,328.92, 1,993.16 and 355.04 is: 532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.92 : 1,993.16 = 355.04 : x
  2. Step 2: Convert to fraction form
    1,328.92/1,993.16 = 355.04/x
  3. Step 3: Cross multiply
    1,328.92x = 1,993.16 × 355.04
  4. Step 4: Simplify right side
    1,328.92x = 707,651.53
  5. Step 5: Solve for x
    x = 707,651.53/1,328.92
  6. Step 6: Final answer
    x = 532.50

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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.