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Finding the Fourth Proportional to 1,329.30, 1,994.05 and 355.38

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Solution

The fourth proportional to 1,329.30, 1,994.05 and 355.38 is: 533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.30 : 1,994.05 = 355.38 : x
  2. Step 2: Convert to fraction form
    1,329.30/1,994.05 = 355.38/x
  3. Step 3: Cross multiply
    1,329.30x = 1,994.05 × 355.38
  4. Step 4: Simplify right side
    1,329.30x = 708,645.49
  5. Step 5: Solve for x
    x = 708,645.49/1,329.30
  6. Step 6: Final answer
    x = 533.10

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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.