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Finding the Fourth Proportional to 1,119.08, 1,676.94 and 469.64

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Solution

The fourth proportional to 1,119.08, 1,676.94 and 469.64 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.08 : 1,676.94 = 469.64 : x
  2. Step 2: Convert to fraction form
    1,119.08/1,676.94 = 469.64/x
  3. Step 3: Cross multiply
    1,119.08x = 1,676.94 × 469.64
  4. Step 4: Simplify right side
    1,119.08x = 787,558.10
  5. Step 5: Solve for x
    x = 787,558.10/1,119.08
  6. Step 6: Final answer
    x = 703.75

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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.