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Finding the Fourth Proportional to 1,419.25, 2,128.90 and 688.64

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Solution

The fourth proportional to 1,419.25, 2,128.90 and 688.64 is: 1,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.25 : 2,128.90 = 688.64 : x
  2. Step 2: Convert to fraction form
    1,419.25/2,128.90 = 688.64/x
  3. Step 3: Cross multiply
    1,419.25x = 2,128.90 × 688.64
  4. Step 4: Simplify right side
    1,419.25x = 1,466,049.30
  5. Step 5: Solve for x
    x = 1,466,049.30/1,419.25
  6. Step 6: Final answer
    x = 1,032.98

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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.