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Finding the Fourth Proportional to 1,098.02, 1,647.10 and 367.59

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Solution

The fourth proportional to 1,098.02, 1,647.10 and 367.59 is: 551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.02 : 1,647.10 = 367.59 : x
  2. Step 2: Convert to fraction form
    1,098.02/1,647.10 = 367.59/x
  3. Step 3: Cross multiply
    1,098.02x = 1,647.10 × 367.59
  4. Step 4: Simplify right side
    1,098.02x = 605,457.49
  5. Step 5: Solve for x
    x = 605,457.49/1,098.02
  6. Step 6: Final answer
    x = 551.41

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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.