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Finding the Fourth Proportional to 1,164.15, 1,605.51 and 849.24

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Solution

The fourth proportional to 1,164.15, 1,605.51 and 849.24 is: 1,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.15 : 1,605.51 = 849.24 : x
  2. Step 2: Convert to fraction form
    1,164.15/1,605.51 = 849.24/x
  3. Step 3: Cross multiply
    1,164.15x = 1,605.51 × 849.24
  4. Step 4: Simplify right side
    1,164.15x = 1,363,463.31
  5. Step 5: Solve for x
    x = 1,363,463.31/1,164.15
  6. Step 6: Final answer
    x = 1,171.21

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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.