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Finding the Fourth Proportional to 1,356.33, 1,870.45 and 884.59

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Solution

The fourth proportional to 1,356.33, 1,870.45 and 884.59 is: 1,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.33 : 1,870.45 = 884.59 : x
  2. Step 2: Convert to fraction form
    1,356.33/1,870.45 = 884.59/x
  3. Step 3: Cross multiply
    1,356.33x = 1,870.45 × 884.59
  4. Step 4: Simplify right side
    1,356.33x = 1,654,576.97
  5. Step 5: Solve for x
    x = 1,654,576.97/1,356.33
  6. Step 6: Final answer
    x = 1,219.89

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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.