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Finding the Fourth Proportional to 1,076.82, 1,615.68 and 589.74

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Solution

The fourth proportional to 1,076.82, 1,615.68 and 589.74 is: 884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.82 : 1,615.68 = 589.74 : x
  2. Step 2: Convert to fraction form
    1,076.82/1,615.68 = 589.74/x
  3. Step 3: Cross multiply
    1,076.82x = 1,615.68 × 589.74
  4. Step 4: Simplify right side
    1,076.82x = 952,831.12
  5. Step 5: Solve for x
    x = 952,831.12/1,076.82
  6. Step 6: Final answer
    x = 884.86

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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.