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Finding the Fourth Proportional to 921.01, 1,270.19 and 589.31

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Solution

The fourth proportional to 921.01, 1,270.19 and 589.31 is: 812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.01 : 1,270.19 = 589.31 : x
  2. Step 2: Convert to fraction form
    921.01/1,270.19 = 589.31/x
  3. Step 3: Cross multiply
    921.01x = 1,270.19 × 589.31
  4. Step 4: Simplify right side
    921.01x = 748,532.72
  5. Step 5: Solve for x
    x = 748,532.72/921.01
  6. Step 6: Final answer
    x = 812.73

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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.