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Finding the Fourth Proportional to 1,289.36, 1,935.20 and 596.40

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Solution

The fourth proportional to 1,289.36, 1,935.20 and 596.40 is: 895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.36 : 1,935.20 = 596.40 : x
  2. Step 2: Convert to fraction form
    1,289.36/1,935.20 = 596.40/x
  3. Step 3: Cross multiply
    1,289.36x = 1,935.20 × 596.40
  4. Step 4: Simplify right side
    1,289.36x = 1,154,153.28
  5. Step 5: Solve for x
    x = 1,154,153.28/1,289.36
  6. Step 6: Final answer
    x = 895.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.