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Finding the Fourth Proportional to 1,346.44, 1,858.54 and 822.50

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Solution

The fourth proportional to 1,346.44, 1,858.54 and 822.50 is: 1,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.44 : 1,858.54 = 822.50 : x
  2. Step 2: Convert to fraction form
    1,346.44/1,858.54 = 822.50/x
  3. Step 3: Cross multiply
    1,346.44x = 1,858.54 × 822.50
  4. Step 4: Simplify right side
    1,346.44x = 1,528,649.15
  5. Step 5: Solve for x
    x = 1,528,649.15/1,346.44
  6. Step 6: Final answer
    x = 1,135.33

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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.