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Finding the Fourth Proportional to 589.39, 883.73 and 522.77

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Solution

The fourth proportional to 589.39, 883.73 and 522.77 is: 783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.39 : 883.73 = 522.77 : x
  2. Step 2: Convert to fraction form
    589.39/883.73 = 522.77/x
  3. Step 3: Cross multiply
    589.39x = 883.73 × 522.77
  4. Step 4: Simplify right side
    589.39x = 461,984.42
  5. Step 5: Solve for x
    x = 461,984.42/589.39
  6. Step 6: Final answer
    x = 783.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.