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Finding the Fourth Proportional to 1,200.05, 1,656.06 and 676.08

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Solution

The fourth proportional to 1,200.05, 1,656.06 and 676.08 is: 932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.05 : 1,656.06 = 676.08 : x
  2. Step 2: Convert to fraction form
    1,200.05/1,656.06 = 676.08/x
  3. Step 3: Cross multiply
    1,200.05x = 1,656.06 × 676.08
  4. Step 4: Simplify right side
    1,200.05x = 1,119,629.04
  5. Step 5: Solve for x
    x = 1,119,629.04/1,200.05
  6. Step 6: Final answer
    x = 932.99

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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.