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Finding the Fourth Proportional to 1,345.86, 1,858.28 and 822.60

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Solution

The fourth proportional to 1,345.86, 1,858.28 and 822.60 is: 1,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.86 : 1,858.28 = 822.60 : x
  2. Step 2: Convert to fraction form
    1,345.86/1,858.28 = 822.60/x
  3. Step 3: Cross multiply
    1,345.86x = 1,858.28 × 822.60
  4. Step 4: Simplify right side
    1,345.86x = 1,528,617.02
  5. Step 5: Solve for x
    x = 1,528,617.02/1,345.86
  6. Step 6: Final answer
    x = 1,135.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.