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Finding the Fourth Proportional to 1,171.02, 1,616.04 and 647.07

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Solution

The fourth proportional to 1,171.02, 1,616.04 and 647.07 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.02 : 1,616.04 = 647.07 : x
  2. Step 2: Convert to fraction form
    1,171.02/1,616.04 = 647.07/x
  3. Step 3: Cross multiply
    1,171.02x = 1,616.04 × 647.07
  4. Step 4: Simplify right side
    1,171.02x = 1,045,691.00
  5. Step 5: Solve for x
    x = 1,045,691.00/1,171.02
  6. Step 6: Final answer
    x = 892.97

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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.