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Finding the Fourth Proportional to 1,513.12, 2,269.44 and 589.12

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Solution

The fourth proportional to 1,513.12, 2,269.44 and 589.12 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.12 : 2,269.44 = 589.12 : x
  2. Step 2: Convert to fraction form
    1,513.12/2,269.44 = 589.12/x
  3. Step 3: Cross multiply
    1,513.12x = 2,269.44 × 589.12
  4. Step 4: Simplify right side
    1,513.12x = 1,336,972.49
  5. Step 5: Solve for x
    x = 1,336,972.49/1,513.12
  6. Step 6: Final answer
    x = 883.59

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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.