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Finding the Fourth Proportional to 1,171.28, 1,616.24 and 647.28

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Solution

The fourth proportional to 1,171.28, 1,616.24 and 647.28 is: 893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.28 : 1,616.24 = 647.28 : x
  2. Step 2: Convert to fraction form
    1,171.28/1,616.24 = 647.28/x
  3. Step 3: Cross multiply
    1,171.28x = 1,616.24 × 647.28
  4. Step 4: Simplify right side
    1,171.28x = 1,046,156.59
  5. Step 5: Solve for x
    x = 1,046,156.59/1,171.28
  6. Step 6: Final answer
    x = 893.18

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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.