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Finding the Fourth Proportional to 1,204.98, 1,797.02 and 1,088.34

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Solution

The fourth proportional to 1,204.98, 1,797.02 and 1,088.34 is: 1,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.98 : 1,797.02 = 1,088.34 : x
  2. Step 2: Convert to fraction form
    1,204.98/1,797.02 = 1,088.34/x
  3. Step 3: Cross multiply
    1,204.98x = 1,797.02 × 1,088.34
  4. Step 4: Simplify right side
    1,204.98x = 1,955,768.75
  5. Step 5: Solve for x
    x = 1,955,768.75/1,204.98
  6. Step 6: Final answer
    x = 1,623.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.