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Finding the Fourth Proportional to 1,356.18, 1,870.56 and 832.44

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Solution

The fourth proportional to 1,356.18, 1,870.56 and 832.44 is: 1,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.18 : 1,870.56 = 832.44 : x
  2. Step 2: Convert to fraction form
    1,356.18/1,870.56 = 832.44/x
  3. Step 3: Cross multiply
    1,356.18x = 1,870.56 × 832.44
  4. Step 4: Simplify right side
    1,356.18x = 1,557,128.97
  5. Step 5: Solve for x
    x = 1,557,128.97/1,356.18
  6. Step 6: Final answer
    x = 1,148.17

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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.