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Finding the Fourth Proportional to 1,109.35, 1,663.89 and 561.25

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Solution

The fourth proportional to 1,109.35, 1,663.89 and 561.25 is: 841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.35 : 1,663.89 = 561.25 : x
  2. Step 2: Convert to fraction form
    1,109.35/1,663.89 = 561.25/x
  3. Step 3: Cross multiply
    1,109.35x = 1,663.89 × 561.25
  4. Step 4: Simplify right side
    1,109.35x = 933,858.26
  5. Step 5: Solve for x
    x = 933,858.26/1,109.35
  6. Step 6: Final answer
    x = 841.81

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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.