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Finding the Fourth Proportional to 899.84, 1,352.28 and 878

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Solution

The fourth proportional to 899.84, 1,352.28 and 878 is: 1,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.84 : 1,352.28 = 878 : x
  2. Step 2: Convert to fraction form
    899.84/1,352.28 = 878/x
  3. Step 3: Cross multiply
    899.84x = 1,352.28 × 878
  4. Step 4: Simplify right side
    899.84x = 1,187,301.84
  5. Step 5: Solve for x
    x = 1,187,301.84/899.84
  6. Step 6: Final answer
    x = 1,319.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.