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Finding the Fourth Proportional to 1,283.58, 1,771.64 and 1,073.40

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Solution

The fourth proportional to 1,283.58, 1,771.64 and 1,073.40 is: 1,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.58 : 1,771.64 = 1,073.40 : x
  2. Step 2: Convert to fraction form
    1,283.58/1,771.64 = 1,073.40/x
  3. Step 3: Cross multiply
    1,283.58x = 1,771.64 × 1,073.40
  4. Step 4: Simplify right side
    1,283.58x = 1,901,670.39
  5. Step 5: Solve for x
    x = 1,901,670.39/1,283.58
  6. Step 6: Final answer
    x = 1,481.54

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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.