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Finding the Fourth Proportional to 1,098.36, 1,647.64 and 347.82

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Solution

The fourth proportional to 1,098.36, 1,647.64 and 347.82 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.36 : 1,647.64 = 347.82 : x
  2. Step 2: Convert to fraction form
    1,098.36/1,647.64 = 347.82/x
  3. Step 3: Cross multiply
    1,098.36x = 1,647.64 × 347.82
  4. Step 4: Simplify right side
    1,098.36x = 573,082.14
  5. Step 5: Solve for x
    x = 573,082.14/1,098.36
  6. Step 6: Final answer
    x = 521.76

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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.