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Finding the Fourth Proportional to 1,098.37, 1,647.31 and 347.93

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Solution

The fourth proportional to 1,098.37, 1,647.31 and 347.93 is: 521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.37 : 1,647.31 = 347.93 : x
  2. Step 2: Convert to fraction form
    1,098.37/1,647.31 = 347.93/x
  3. Step 3: Cross multiply
    1,098.37x = 1,647.31 × 347.93
  4. Step 4: Simplify right side
    1,098.37x = 573,148.57
  5. Step 5: Solve for x
    x = 573,148.57/1,098.37
  6. Step 6: Final answer
    x = 521.82

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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.