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Finding the Fourth Proportional to 1,329.02, 1,993.54 and 355.11

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Solution

The fourth proportional to 1,329.02, 1,993.54 and 355.11 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.02 : 1,993.54 = 355.11 : x
  2. Step 2: Convert to fraction form
    1,329.02/1,993.54 = 355.11/x
  3. Step 3: Cross multiply
    1,329.02x = 1,993.54 × 355.11
  4. Step 4: Simplify right side
    1,329.02x = 707,925.99
  5. Step 5: Solve for x
    x = 707,925.99/1,329.02
  6. Step 6: Final answer
    x = 532.67

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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.