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Finding the Fourth Proportional to 1,694.49, 2,541.47 and 598.70

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Solution

The fourth proportional to 1,694.49, 2,541.47 and 598.70 is: 897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.49 : 2,541.47 = 598.70 : x
  2. Step 2: Convert to fraction form
    1,694.49/2,541.47 = 598.70/x
  3. Step 3: Cross multiply
    1,694.49x = 2,541.47 × 598.70
  4. Step 4: Simplify right side
    1,694.49x = 1,521,562.39
  5. Step 5: Solve for x
    x = 1,521,562.39/1,694.49
  6. Step 6: Final answer
    x = 897.95

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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.