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Finding the Fourth Proportional to 883.36, 1,219.60 and 589.04

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Solution

The fourth proportional to 883.36, 1,219.60 and 589.04 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.36 : 1,219.60 = 589.04 : x
  2. Step 2: Convert to fraction form
    883.36/1,219.60 = 589.04/x
  3. Step 3: Cross multiply
    883.36x = 1,219.60 × 589.04
  4. Step 4: Simplify right side
    883.36x = 718,393.18
  5. Step 5: Solve for x
    x = 718,393.18/883.36
  6. Step 6: Final answer
    x = 813.25

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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.