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Finding the Fourth Proportional to 1,076.34, 1,615.05 and 589.26

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Solution

The fourth proportional to 1,076.34, 1,615.05 and 589.26 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.34 : 1,615.05 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,076.34/1,615.05 = 589.26/x
  3. Step 3: Cross multiply
    1,076.34x = 1,615.05 × 589.26
  4. Step 4: Simplify right side
    1,076.34x = 951,684.36
  5. Step 5: Solve for x
    x = 951,684.36/1,076.34
  6. Step 6: Final answer
    x = 884.19

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Why These Related Problems?

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