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Finding the Fourth Proportional to 860.82, 1,291.05 and 283.56

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Solution

The fourth proportional to 860.82, 1,291.05 and 283.56 is: 425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,291.05 = 283.56 : x
  2. Step 2: Convert to fraction form
    860.82/1,291.05 = 283.56/x
  3. Step 3: Cross multiply
    860.82x = 1,291.05 × 283.56
  4. Step 4: Simplify right side
    860.82x = 366,090.14
  5. Step 5: Solve for x
    x = 366,090.14/860.82
  6. Step 6: Final answer
    x = 425.28

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1.5x scale

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.