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Finding the Fourth Proportional to 848.86, 1,271.90 and 523.54

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Solution

The fourth proportional to 848.86, 1,271.90 and 523.54 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.86 : 1,271.90 = 523.54 : x
  2. Step 2: Convert to fraction form
    848.86/1,271.90 = 523.54/x
  3. Step 3: Cross multiply
    848.86x = 1,271.90 × 523.54
  4. Step 4: Simplify right side
    848.86x = 665,890.53
  5. Step 5: Solve for x
    x = 665,890.53/848.86
  6. Step 6: Final answer
    x = 784.45

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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.