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Finding the Fourth Proportional to 1,399.64, 1,931.48 and 778.64

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Solution

The fourth proportional to 1,399.64, 1,931.48 and 778.64 is: 1,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.64 : 1,931.48 = 778.64 : x
  2. Step 2: Convert to fraction form
    1,399.64/1,931.48 = 778.64/x
  3. Step 3: Cross multiply
    1,399.64x = 1,931.48 × 778.64
  4. Step 4: Simplify right side
    1,399.64x = 1,503,927.59
  5. Step 5: Solve for x
    x = 1,503,927.59/1,399.64
  6. Step 6: Final answer
    x = 1,074.51

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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.