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Finding the Fourth Proportional to 1,028.56, 1,417.93 and 678.64

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Solution

The fourth proportional to 1,028.56, 1,417.93 and 678.64 is: 935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.56 : 1,417.93 = 678.64 : x
  2. Step 2: Convert to fraction form
    1,028.56/1,417.93 = 678.64/x
  3. Step 3: Cross multiply
    1,028.56x = 1,417.93 × 678.64
  4. Step 4: Simplify right side
    1,028.56x = 962,264.02
  5. Step 5: Solve for x
    x = 962,264.02/1,028.56
  6. Step 6: Final answer
    x = 935.54

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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.