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Finding the Fourth Proportional to 860.76, 1,290.33 and 491.13

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Solution

The fourth proportional to 860.76, 1,290.33 and 491.13 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,290.33 = 491.13 : x
  2. Step 2: Convert to fraction form
    860.76/1,290.33 = 491.13/x
  3. Step 3: Cross multiply
    860.76x = 1,290.33 × 491.13
  4. Step 4: Simplify right side
    860.76x = 633,719.77
  5. Step 5: Solve for x
    x = 633,719.77/860.76
  6. Step 6: Final answer
    x = 736.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.