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Finding the Fourth Proportional to 1,171.66, 1,616.81 and 647.73

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Solution

The fourth proportional to 1,171.66, 1,616.81 and 647.73 is: 893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.66 : 1,616.81 = 647.73 : x
  2. Step 2: Convert to fraction form
    1,171.66/1,616.81 = 647.73/x
  3. Step 3: Cross multiply
    1,171.66x = 1,616.81 × 647.73
  4. Step 4: Simplify right side
    1,171.66x = 1,047,256.34
  5. Step 5: Solve for x
    x = 1,047,256.34/1,171.66
  6. Step 6: Final answer
    x = 893.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.