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Finding the Fourth Proportional to 1,399.50, 1,931.72 and 933.75

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Solution

The fourth proportional to 1,399.50, 1,931.72 and 933.75 is: 1,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.50 : 1,931.72 = 933.75 : x
  2. Step 2: Convert to fraction form
    1,399.50/1,931.72 = 933.75/x
  3. Step 3: Cross multiply
    1,399.50x = 1,931.72 × 933.75
  4. Step 4: Simplify right side
    1,399.50x = 1,803,738.88
  5. Step 5: Solve for x
    x = 1,803,738.88/1,399.50
  6. Step 6: Final answer
    x = 1,288.85

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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.