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Finding the Fourth Proportional to 1,025.04, 1,414.68 and 676.44

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Solution

The fourth proportional to 1,025.04, 1,414.68 and 676.44 is: 933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.04 : 1,414.68 = 676.44 : x
  2. Step 2: Convert to fraction form
    1,025.04/1,414.68 = 676.44/x
  3. Step 3: Cross multiply
    1,025.04x = 1,414.68 × 676.44
  4. Step 4: Simplify right side
    1,025.04x = 956,946.14
  5. Step 5: Solve for x
    x = 956,946.14/1,025.04
  6. Step 6: Final answer
    x = 933.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.