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Finding the Fourth Proportional to 1,190.84, 1,786.55 and 498.03

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Solution

The fourth proportional to 1,190.84, 1,786.55 and 498.03 is: 747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.84 : 1,786.55 = 498.03 : x
  2. Step 2: Convert to fraction form
    1,190.84/1,786.55 = 498.03/x
  3. Step 3: Cross multiply
    1,190.84x = 1,786.55 × 498.03
  4. Step 4: Simplify right side
    1,190.84x = 889,753.01
  5. Step 5: Solve for x
    x = 889,753.01/1,190.84
  6. Step 6: Final answer
    x = 747.17

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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.