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Finding the Fourth Proportional to 1,329.02, 1,993.53 and 507.38

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Solution

The fourth proportional to 1,329.02, 1,993.53 and 507.38 is: 761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.02 : 1,993.53 = 507.38 : x
  2. Step 2: Convert to fraction form
    1,329.02/1,993.53 = 507.38/x
  3. Step 3: Cross multiply
    1,329.02x = 1,993.53 × 507.38
  4. Step 4: Simplify right side
    1,329.02x = 1,011,467.28
  5. Step 5: Solve for x
    x = 1,011,467.28/1,329.02
  6. Step 6: Final answer
    x = 761.07

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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.