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Finding the Fourth Proportional to 1,346.58, 1,858.32 and 822.60

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Solution

The fourth proportional to 1,346.58, 1,858.32 and 822.60 is: 1,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.58 : 1,858.32 = 822.60 : x
  2. Step 2: Convert to fraction form
    1,346.58/1,858.32 = 822.60/x
  3. Step 3: Cross multiply
    1,346.58x = 1,858.32 × 822.60
  4. Step 4: Simplify right side
    1,346.58x = 1,528,654.03
  5. Step 5: Solve for x
    x = 1,528,654.03/1,346.58
  6. Step 6: Final answer
    x = 1,135.21

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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.