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Finding the Fourth Proportional to 1,109.36, 1,663.04 and 588.98

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Solution

The fourth proportional to 1,109.36, 1,663.04 and 588.98 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.36 : 1,663.04 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,109.36/1,663.04 = 588.98/x
  3. Step 3: Cross multiply
    1,109.36x = 1,663.04 × 588.98
  4. Step 4: Simplify right side
    1,109.36x = 979,497.30
  5. Step 5: Solve for x
    x = 979,497.30/1,109.36
  6. Step 6: Final answer
    x = 882.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.