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Finding the Fourth Proportional to 584.61, 877.44 and 522.82

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Solution

The fourth proportional to 584.61, 877.44 and 522.82 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.61 : 877.44 = 522.82 : x
  2. Step 2: Convert to fraction form
    584.61/877.44 = 522.82/x
  3. Step 3: Cross multiply
    584.61x = 877.44 × 522.82
  4. Step 4: Simplify right side
    584.61x = 458,738.79
  5. Step 5: Solve for x
    x = 458,738.79/584.61
  6. Step 6: Final answer
    x = 784.69

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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.