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Finding the Fourth Proportional to 1,171.01, 1,616.00 and 647.07

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Solution

The fourth proportional to 1,171.01, 1,616.00 and 647.07 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.01 : 1,616.00 = 647.07 : x
  2. Step 2: Convert to fraction form
    1,171.01/1,616.00 = 647.07/x
  3. Step 3: Cross multiply
    1,171.01x = 1,616.00 × 647.07
  4. Step 4: Simplify right side
    1,171.01x = 1,045,661.88
  5. Step 5: Solve for x
    x = 1,045,661.88/1,171.01
  6. Step 6: Final answer
    x = 892.96

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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.