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Finding the Fourth Proportional to 860.59, 1,290.30 and 696.26

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Solution

The fourth proportional to 860.59, 1,290.30 and 696.26 is: 1,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.59 : 1,290.30 = 696.26 : x
  2. Step 2: Convert to fraction form
    860.59/1,290.30 = 696.26/x
  3. Step 3: Cross multiply
    860.59x = 1,290.30 × 696.26
  4. Step 4: Simplify right side
    860.59x = 898,384.89
  5. Step 5: Solve for x
    x = 898,384.89/860.59
  6. Step 6: Final answer
    x = 1,043.92

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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.