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Finding the Fourth Proportional to 589.74, 889.80 and 584.88

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Solution

The fourth proportional to 589.74, 889.80 and 584.88 is: 882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 889.80 = 584.88 : x
  2. Step 2: Convert to fraction form
    589.74/889.80 = 584.88/x
  3. Step 3: Cross multiply
    589.74x = 889.80 × 584.88
  4. Step 4: Simplify right side
    589.74x = 520,426.22
  5. Step 5: Solve for x
    x = 520,426.22/589.74
  6. Step 6: Final answer
    x = 882.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.