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Finding the Fourth Proportional to 1,147.02, 1,719.99 and 416.09

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Solution

The fourth proportional to 1,147.02, 1,719.99 and 416.09 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.02 : 1,719.99 = 416.09 : x
  2. Step 2: Convert to fraction form
    1,147.02/1,719.99 = 416.09/x
  3. Step 3: Cross multiply
    1,147.02x = 1,719.99 × 416.09
  4. Step 4: Simplify right side
    1,147.02x = 715,662.04
  5. Step 5: Solve for x
    x = 715,662.04/1,147.02
  6. Step 6: Final answer
    x = 623.93

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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.