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Finding the Fourth Proportional to 1,476.03, 2,211.35 and 696.68

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Solution

The fourth proportional to 1,476.03, 2,211.35 and 696.68 is: 1,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.03 : 2,211.35 = 696.68 : x
  2. Step 2: Convert to fraction form
    1,476.03/2,211.35 = 696.68/x
  3. Step 3: Cross multiply
    1,476.03x = 2,211.35 × 696.68
  4. Step 4: Simplify right side
    1,476.03x = 1,540,588.78
  5. Step 5: Solve for x
    x = 1,540,588.78/1,476.03
  6. Step 6: Final answer
    x = 1,043.74

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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.