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Finding the Fourth Proportional to 848.05, 1,271.19 and 523.64

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Solution

The fourth proportional to 848.05, 1,271.19 and 523.64 is: 784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.05 : 1,271.19 = 523.64 : x
  2. Step 2: Convert to fraction form
    848.05/1,271.19 = 523.64/x
  3. Step 3: Cross multiply
    848.05x = 1,271.19 × 523.64
  4. Step 4: Simplify right side
    848.05x = 665,645.93
  5. Step 5: Solve for x
    x = 665,645.93/848.05
  6. Step 6: Final answer
    x = 784.91

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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.