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Finding the Fourth Proportional to 1,329.46, 1,994.04 and 355.64

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Solution

The fourth proportional to 1,329.46, 1,994.04 and 355.64 is: 533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.46 : 1,994.04 = 355.64 : x
  2. Step 2: Convert to fraction form
    1,329.46/1,994.04 = 355.64/x
  3. Step 3: Cross multiply
    1,329.46x = 1,994.04 × 355.64
  4. Step 4: Simplify right side
    1,329.46x = 709,158.61
  5. Step 5: Solve for x
    x = 709,158.61/1,329.46
  6. Step 6: Final answer
    x = 533.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.