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Finding the Fourth Proportional to 1,284.41, 1,770.60 and 1,106.60

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Solution

The fourth proportional to 1,284.41, 1,770.60 and 1,106.60 is: 1,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.41 : 1,770.60 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    1,284.41/1,770.60 = 1,106.60/x
  3. Step 3: Cross multiply
    1,284.41x = 1,770.60 × 1,106.60
  4. Step 4: Simplify right side
    1,284.41x = 1,959,337.11
  5. Step 5: Solve for x
    x = 1,959,337.11/1,284.41
  6. Step 6: Final answer
    x = 1,525.48

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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.