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Finding the Fourth Proportional to 921.10, 1,270.59 and 589.27

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Solution

The fourth proportional to 921.10, 1,270.59 and 589.27 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.10 : 1,270.59 = 589.27 : x
  2. Step 2: Convert to fraction form
    921.10/1,270.59 = 589.27/x
  3. Step 3: Cross multiply
    921.10x = 1,270.59 × 589.27
  4. Step 4: Simplify right side
    921.10x = 748,720.57
  5. Step 5: Solve for x
    x = 748,720.57/921.10
  6. Step 6: Final answer
    x = 812.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.