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Finding the Fourth Proportional to 1,105.82, 1,526.55 and 639.98

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Solution

The fourth proportional to 1,105.82, 1,526.55 and 639.98 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.82 : 1,526.55 = 639.98 : x
  2. Step 2: Convert to fraction form
    1,105.82/1,526.55 = 639.98/x
  3. Step 3: Cross multiply
    1,105.82x = 1,526.55 × 639.98
  4. Step 4: Simplify right side
    1,105.82x = 976,961.47
  5. Step 5: Solve for x
    x = 976,961.47/1,105.82
  6. Step 6: Final answer
    x = 883.47

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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.