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Finding the Fourth Proportional to 1,434.68, 1,979.12 and 844.64

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Solution

The fourth proportional to 1,434.68, 1,979.12 and 844.64 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.68 : 1,979.12 = 844.64 : x
  2. Step 2: Convert to fraction form
    1,434.68/1,979.12 = 844.64/x
  3. Step 3: Cross multiply
    1,434.68x = 1,979.12 × 844.64
  4. Step 4: Simplify right side
    1,434.68x = 1,671,643.92
  5. Step 5: Solve for x
    x = 1,671,643.92/1,434.68
  6. Step 6: Final answer
    x = 1,165.17

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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.