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Finding the Fourth Proportional to 1,109.82, 1,531.59 and 612.48

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Solution

The fourth proportional to 1,109.82, 1,531.59 and 612.48 is: 845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,531.59 = 612.48 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,531.59 = 612.48/x
  3. Step 3: Cross multiply
    1,109.82x = 1,531.59 × 612.48
  4. Step 4: Simplify right side
    1,109.82x = 938,068.24
  5. Step 5: Solve for x
    x = 938,068.24/1,109.82
  6. Step 6: Final answer
    x = 845.24

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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.