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Finding the Fourth Proportional to 1,171.78, 1,617.09 and 647.80

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Solution

The fourth proportional to 1,171.78, 1,617.09 and 647.80 is: 893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.78 : 1,617.09 = 647.80 : x
  2. Step 2: Convert to fraction form
    1,171.78/1,617.09 = 647.80/x
  3. Step 3: Cross multiply
    1,171.78x = 1,617.09 × 647.80
  4. Step 4: Simplify right side
    1,171.78x = 1,047,550.90
  5. Step 5: Solve for x
    x = 1,047,550.90/1,171.78
  6. Step 6: Final answer
    x = 893.98

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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.