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Finding the Fourth Proportional to 1,434.06, 1,979.08 and 844.79

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Solution

The fourth proportional to 1,434.06, 1,979.08 and 844.79 is: 1,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.06 : 1,979.08 = 844.79 : x
  2. Step 2: Convert to fraction form
    1,434.06/1,979.08 = 844.79/x
  3. Step 3: Cross multiply
    1,434.06x = 1,979.08 × 844.79
  4. Step 4: Simplify right side
    1,434.06x = 1,671,906.99
  5. Step 5: Solve for x
    x = 1,671,906.99/1,434.06
  6. Step 6: Final answer
    x = 1,165.86

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1.5x scale

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.