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Finding the Fourth Proportional to 589.73, 811.95 and 501.03

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Solution

The fourth proportional to 589.73, 811.95 and 501.03 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.73 : 811.95 = 501.03 : x
  2. Step 2: Convert to fraction form
    589.73/811.95 = 501.03/x
  3. Step 3: Cross multiply
    589.73x = 811.95 × 501.03
  4. Step 4: Simplify right side
    589.73x = 406,811.31
  5. Step 5: Solve for x
    x = 406,811.31/589.73
  6. Step 6: Final answer
    x = 689.83

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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.