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Finding the Fourth Proportional to 1,146.99, 1,719.80 and 416.33

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Solution

The fourth proportional to 1,146.99, 1,719.80 and 416.33 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.99 : 1,719.80 = 416.33 : x
  2. Step 2: Convert to fraction form
    1,146.99/1,719.80 = 416.33/x
  3. Step 3: Cross multiply
    1,146.99x = 1,719.80 × 416.33
  4. Step 4: Simplify right side
    1,146.99x = 715,996.78
  5. Step 5: Solve for x
    x = 715,996.78/1,146.99
  6. Step 6: Final answer
    x = 624.24

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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.