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Finding the Fourth Proportional to 689.94, 951.84 and 427.86

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Solution

The fourth proportional to 689.94, 951.84 and 427.86 is: 590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 951.84 = 427.86 : x
  2. Step 2: Convert to fraction form
    689.94/951.84 = 427.86/x
  3. Step 3: Cross multiply
    689.94x = 951.84 × 427.86
  4. Step 4: Simplify right side
    689.94x = 407,254.26
  5. Step 5: Solve for x
    x = 407,254.26/689.94
  6. Step 6: Final answer
    x = 590.27

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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.