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Finding the Fourth Proportional to 1,146.45, 1,719.68 and 416.19

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Solution

The fourth proportional to 1,146.45, 1,719.68 and 416.19 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.45 : 1,719.68 = 416.19 : x
  2. Step 2: Convert to fraction form
    1,146.45/1,719.68 = 416.19/x
  3. Step 3: Cross multiply
    1,146.45x = 1,719.68 × 416.19
  4. Step 4: Simplify right side
    1,146.45x = 715,711.54
  5. Step 5: Solve for x
    x = 715,711.54/1,146.45
  6. Step 6: Final answer
    x = 624.29

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Why These Related Problems?

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