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Finding the Fourth Proportional to 1,146.93, 1,719.90 and 416.49

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Solution

The fourth proportional to 1,146.93, 1,719.90 and 416.49 is: 624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.93 : 1,719.90 = 416.49 : x
  2. Step 2: Convert to fraction form
    1,146.93/1,719.90 = 416.49/x
  3. Step 3: Cross multiply
    1,146.93x = 1,719.90 × 416.49
  4. Step 4: Simplify right side
    1,146.93x = 716,321.15
  5. Step 5: Solve for x
    x = 716,321.15/1,146.93
  6. Step 6: Final answer
    x = 624.56

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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.