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Finding the Fourth Proportional to 589.61, 810.26 and 573.21

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Solution

The fourth proportional to 589.61, 810.26 and 573.21 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 810.26 = 573.21 : x
  2. Step 2: Convert to fraction form
    589.61/810.26 = 573.21/x
  3. Step 3: Cross multiply
    589.61x = 810.26 × 573.21
  4. Step 4: Simplify right side
    589.61x = 464,446.27
  5. Step 5: Solve for x
    x = 464,446.27/589.61
  6. Step 6: Final answer
    x = 787.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.