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Finding the Fourth Proportional to 1,015.30, 1,399.51 and 930.57

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Solution

The fourth proportional to 1,015.30, 1,399.51 and 930.57 is: 1,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.30 : 1,399.51 = 930.57 : x
  2. Step 2: Convert to fraction form
    1,015.30/1,399.51 = 930.57/x
  3. Step 3: Cross multiply
    1,015.30x = 1,399.51 × 930.57
  4. Step 4: Simplify right side
    1,015.30x = 1,302,342.02
  5. Step 5: Solve for x
    x = 1,302,342.02/1,015.30
  6. Step 6: Final answer
    x = 1,282.72

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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.