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Finding the Fourth Proportional to 848.34, 1,171.08 and 537.84

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Solution

The fourth proportional to 848.34, 1,171.08 and 537.84 is: 742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.34 : 1,171.08 = 537.84 : x
  2. Step 2: Convert to fraction form
    848.34/1,171.08 = 537.84/x
  3. Step 3: Cross multiply
    848.34x = 1,171.08 × 537.84
  4. Step 4: Simplify right side
    848.34x = 629,853.67
  5. Step 5: Solve for x
    x = 629,853.67/848.34
  6. Step 6: Final answer
    x = 742.45

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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.