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Finding the Fourth Proportional to 1,146.97, 1,719.43 and 599.54

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Solution

The fourth proportional to 1,146.97, 1,719.43 and 599.54 is: 898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.97 : 1,719.43 = 599.54 : x
  2. Step 2: Convert to fraction form
    1,146.97/1,719.43 = 599.54/x
  3. Step 3: Cross multiply
    1,146.97x = 1,719.43 × 599.54
  4. Step 4: Simplify right side
    1,146.97x = 1,030,867.06
  5. Step 5: Solve for x
    x = 1,030,867.06/1,146.97
  6. Step 6: Final answer
    x = 898.77

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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.