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Finding the Fourth Proportional to 1,196.09, 1,650.64 and 665.00

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Solution

The fourth proportional to 1,196.09, 1,650.64 and 665.00 is: 917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.09 : 1,650.64 = 665.00 : x
  2. Step 2: Convert to fraction form
    1,196.09/1,650.64 = 665.00/x
  3. Step 3: Cross multiply
    1,196.09x = 1,650.64 × 665.00
  4. Step 4: Simplify right side
    1,196.09x = 1,097,667.35
  5. Step 5: Solve for x
    x = 1,097,667.35/1,196.09
  6. Step 6: Final answer
    x = 917.72

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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.