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Finding the Fourth Proportional to 860.90, 1,291.67 and 313.13

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Solution

The fourth proportional to 860.90, 1,291.67 and 313.13 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.90 : 1,291.67 = 313.13 : x
  2. Step 2: Convert to fraction form
    860.90/1,291.67 = 313.13/x
  3. Step 3: Cross multiply
    860.90x = 1,291.67 × 313.13
  4. Step 4: Simplify right side
    860.90x = 404,453.39
  5. Step 5: Solve for x
    x = 404,453.39/860.90
  6. Step 6: Final answer
    x = 469.80

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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.