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Finding the Fourth Proportional to 1,028.40, 1,418.68 and 674.16

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Solution

The fourth proportional to 1,028.40, 1,418.68 and 674.16 is: 930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,418.68 = 674.16 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,418.68 = 674.16/x
  3. Step 3: Cross multiply
    1,028.40x = 1,418.68 × 674.16
  4. Step 4: Simplify right side
    1,028.40x = 956,412.83
  5. Step 5: Solve for x
    x = 956,412.83/1,028.40
  6. Step 6: Final answer
    x = 930.00

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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.