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Finding the Fourth Proportional to 1,124.80, 1,684.60 and 1,085.87

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Solution

The fourth proportional to 1,124.80, 1,684.60 and 1,085.87 is: 1,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.80 : 1,684.60 = 1,085.87 : x
  2. Step 2: Convert to fraction form
    1,124.80/1,684.60 = 1,085.87/x
  3. Step 3: Cross multiply
    1,124.80x = 1,684.60 × 1,085.87
  4. Step 4: Simplify right side
    1,124.80x = 1,829,258.10
  5. Step 5: Solve for x
    x = 1,829,258.10/1,124.80
  6. Step 6: Final answer
    x = 1,626.29

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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.