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Finding the Fourth Proportional to 1,124.41, 1,684.01 and 1,085.49

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Solution

The fourth proportional to 1,124.41, 1,684.01 and 1,085.49 is: 1,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.41 : 1,684.01 = 1,085.49 : x
  2. Step 2: Convert to fraction form
    1,124.41/1,684.01 = 1,085.49/x
  3. Step 3: Cross multiply
    1,124.41x = 1,684.01 × 1,085.49
  4. Step 4: Simplify right side
    1,124.41x = 1,827,976.01
  5. Step 5: Solve for x
    x = 1,827,976.01/1,124.41
  6. Step 6: Final answer
    x = 1,625.72

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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.