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Finding the Fourth Proportional to 848.65, 1,169.49 and 612.19

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Solution

The fourth proportional to 848.65, 1,169.49 and 612.19 is: 843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.65 : 1,169.49 = 612.19 : x
  2. Step 2: Convert to fraction form
    848.65/1,169.49 = 612.19/x
  3. Step 3: Cross multiply
    848.65x = 1,169.49 × 612.19
  4. Step 4: Simplify right side
    848.65x = 715,950.08
  5. Step 5: Solve for x
    x = 715,950.08/848.65
  6. Step 6: Final answer
    x = 843.63

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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.