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Finding the Fourth Proportional to 848.94, 1,176.47 and 832.54

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Solution

The fourth proportional to 848.94, 1,176.47 and 832.54 is: 1,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.94 : 1,176.47 = 832.54 : x
  2. Step 2: Convert to fraction form
    848.94/1,176.47 = 832.54/x
  3. Step 3: Cross multiply
    848.94x = 1,176.47 × 832.54
  4. Step 4: Simplify right side
    848.94x = 979,458.33
  5. Step 5: Solve for x
    x = 979,458.33/848.94
  6. Step 6: Final answer
    x = 1,153.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.