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Finding the Fourth Proportional to 1,109.31, 1,663.59 and 561.15

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Solution

The fourth proportional to 1,109.31, 1,663.59 and 561.15 is: 841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,663.59 = 561.15 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,663.59 = 561.15/x
  3. Step 3: Cross multiply
    1,109.31x = 1,663.59 × 561.15
  4. Step 4: Simplify right side
    1,109.31x = 933,523.53
  5. Step 5: Solve for x
    x = 933,523.53/1,109.31
  6. Step 6: Final answer
    x = 841.54

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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.