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Finding the Fourth Proportional to 1,146.27, 1,719.60 and 416.87

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Solution

The fourth proportional to 1,146.27, 1,719.60 and 416.87 is: 625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.27 : 1,719.60 = 416.87 : x
  2. Step 2: Convert to fraction form
    1,146.27/1,719.60 = 416.87/x
  3. Step 3: Cross multiply
    1,146.27x = 1,719.60 × 416.87
  4. Step 4: Simplify right side
    1,146.27x = 716,849.65
  5. Step 5: Solve for x
    x = 716,849.65/1,146.27
  6. Step 6: Final answer
    x = 625.38

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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.