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Finding the Fourth Proportional to 858.44, 1,287.50 and 447.08

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Solution

The fourth proportional to 858.44, 1,287.50 and 447.08 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.44 : 1,287.50 = 447.08 : x
  2. Step 2: Convert to fraction form
    858.44/1,287.50 = 447.08/x
  3. Step 3: Cross multiply
    858.44x = 1,287.50 × 447.08
  4. Step 4: Simplify right side
    858.44x = 575,615.50
  5. Step 5: Solve for x
    x = 575,615.50/858.44
  6. Step 6: Final answer
    x = 670.54

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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.