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Finding the Fourth Proportional to 1,398.54, 1,928.01 and 957.49

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Solution

The fourth proportional to 1,398.54, 1,928.01 and 957.49 is: 1,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 1,928.01 = 957.49 : x
  2. Step 2: Convert to fraction form
    1,398.54/1,928.01 = 957.49/x
  3. Step 3: Cross multiply
    1,398.54x = 1,928.01 × 957.49
  4. Step 4: Simplify right side
    1,398.54x = 1,846,050.29
  5. Step 5: Solve for x
    x = 1,846,050.29/1,398.54
  6. Step 6: Final answer
    x = 1,319.98

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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.