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Finding the Fourth Proportional to 848.83, 1,274.27 and 805.77

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Solution

The fourth proportional to 848.83, 1,274.27 and 805.77 is: 1,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.83 : 1,274.27 = 805.77 : x
  2. Step 2: Convert to fraction form
    848.83/1,274.27 = 805.77/x
  3. Step 3: Cross multiply
    848.83x = 1,274.27 × 805.77
  4. Step 4: Simplify right side
    848.83x = 1,026,771.49
  5. Step 5: Solve for x
    x = 1,026,771.49/848.83
  6. Step 6: Final answer
    x = 1,209.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.