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Finding the Fourth Proportional to 612.26, 917.34 and 584.84

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Solution

The fourth proportional to 612.26, 917.34 and 584.84 is: 876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.26 : 917.34 = 584.84 : x
  2. Step 2: Convert to fraction form
    612.26/917.34 = 584.84/x
  3. Step 3: Cross multiply
    612.26x = 917.34 × 584.84
  4. Step 4: Simplify right side
    612.26x = 536,497.13
  5. Step 5: Solve for x
    x = 536,497.13/612.26
  6. Step 6: Final answer
    x = 876.26

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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.