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Finding the Fourth Proportional to 1,434.66, 1,979.40 and 844.98

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Solution

The fourth proportional to 1,434.66, 1,979.40 and 844.98 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.66 : 1,979.40 = 844.98 : x
  2. Step 2: Convert to fraction form
    1,434.66/1,979.40 = 844.98/x
  3. Step 3: Cross multiply
    1,434.66x = 1,979.40 × 844.98
  4. Step 4: Simplify right side
    1,434.66x = 1,672,553.41
  5. Step 5: Solve for x
    x = 1,672,553.41/1,434.66
  6. Step 6: Final answer
    x = 1,165.82

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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.