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Finding the Fourth Proportional to 848.64, 1,164.40 and 834.08

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Solution

The fourth proportional to 848.64, 1,164.40 and 834.08 is: 1,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.64 : 1,164.40 = 834.08 : x
  2. Step 2: Convert to fraction form
    848.64/1,164.40 = 834.08/x
  3. Step 3: Cross multiply
    848.64x = 1,164.40 × 834.08
  4. Step 4: Simplify right side
    848.64x = 971,202.75
  5. Step 5: Solve for x
    x = 971,202.75/848.64
  6. Step 6: Final answer
    x = 1,144.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.