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Finding the Fourth Proportional to 848.25, 1,171.14 and 533.64

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Solution

The fourth proportional to 848.25, 1,171.14 and 533.64 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.25 : 1,171.14 = 533.64 : x
  2. Step 2: Convert to fraction form
    848.25/1,171.14 = 533.64/x
  3. Step 3: Cross multiply
    848.25x = 1,171.14 × 533.64
  4. Step 4: Simplify right side
    848.25x = 624,967.15
  5. Step 5: Solve for x
    x = 624,967.15/848.25
  6. Step 6: Final answer
    x = 736.77

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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.