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Finding the Fourth Proportional to 1,104.33, 1,524.00 and 606.98

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Solution

The fourth proportional to 1,104.33, 1,524.00 and 606.98 is: 837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.33 : 1,524.00 = 606.98 : x
  2. Step 2: Convert to fraction form
    1,104.33/1,524.00 = 606.98/x
  3. Step 3: Cross multiply
    1,104.33x = 1,524.00 × 606.98
  4. Step 4: Simplify right side
    1,104.33x = 925,026.87
  5. Step 5: Solve for x
    x = 925,026.87/1,104.33
  6. Step 6: Final answer
    x = 837.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.