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Finding the Fourth Proportional to 858.44, 1,284 and 510.98

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Solution

The fourth proportional to 858.44, 1,284 and 510.98 is: 764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.44 : 1,284 = 510.98 : x
  2. Step 2: Convert to fraction form
    858.44/1,284 = 510.98/x
  3. Step 3: Cross multiply
    858.44x = 1,284 × 510.98
  4. Step 4: Simplify right side
    858.44x = 656,098.32
  5. Step 5: Solve for x
    x = 656,098.32/858.44
  6. Step 6: Final answer
    x = 764.29

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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.