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Finding the Fourth Proportional to 860.89, 1,291.32 and 283.75

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Solution

The fourth proportional to 860.89, 1,291.32 and 283.75 is: 425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.89 : 1,291.32 = 283.75 : x
  2. Step 2: Convert to fraction form
    860.89/1,291.32 = 283.75/x
  3. Step 3: Cross multiply
    860.89x = 1,291.32 × 283.75
  4. Step 4: Simplify right side
    860.89x = 366,412.05
  5. Step 5: Solve for x
    x = 366,412.05/860.89
  6. Step 6: Final answer
    x = 425.62

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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.