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Finding the Fourth Proportional to 921.41, 1,271.70 and 589.82

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Solution

The fourth proportional to 921.41, 1,271.70 and 589.82 is: 814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.41 : 1,271.70 = 589.82 : x
  2. Step 2: Convert to fraction form
    921.41/1,271.70 = 589.82/x
  3. Step 3: Cross multiply
    921.41x = 1,271.70 × 589.82
  4. Step 4: Simplify right side
    921.41x = 750,074.09
  5. Step 5: Solve for x
    x = 750,074.09/921.41
  6. Step 6: Final answer
    x = 814.05

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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.