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Finding the Fourth Proportional to 1,214.52, 1,676.28 and 1,036.84

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Solution

The fourth proportional to 1,214.52, 1,676.28 and 1,036.84 is: 1,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.52 : 1,676.28 = 1,036.84 : x
  2. Step 2: Convert to fraction form
    1,214.52/1,676.28 = 1,036.84/x
  3. Step 3: Cross multiply
    1,214.52x = 1,676.28 × 1,036.84
  4. Step 4: Simplify right side
    1,214.52x = 1,738,034.16
  5. Step 5: Solve for x
    x = 1,738,034.16/1,214.52
  6. Step 6: Final answer
    x = 1,431.05

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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.