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Finding the Fourth Proportional to 1,694.63, 2,541.93 and 598.73

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Solution

The fourth proportional to 1,694.63, 2,541.93 and 598.73 is: 898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.63 : 2,541.93 = 598.73 : x
  2. Step 2: Convert to fraction form
    1,694.63/2,541.93 = 598.73/x
  3. Step 3: Cross multiply
    1,694.63x = 2,541.93 × 598.73
  4. Step 4: Simplify right side
    1,694.63x = 1,521,917.04
  5. Step 5: Solve for x
    x = 1,521,917.04/1,694.63
  6. Step 6: Final answer
    x = 898.08

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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.