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Finding the Fourth Proportional to 918.39, 1,380.01 and 895.30

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Solution

The fourth proportional to 918.39, 1,380.01 and 895.30 is: 1,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.39 : 1,380.01 = 895.30 : x
  2. Step 2: Convert to fraction form
    918.39/1,380.01 = 895.30/x
  3. Step 3: Cross multiply
    918.39x = 1,380.01 × 895.30
  4. Step 4: Simplify right side
    918.39x = 1,235,529.22
  5. Step 5: Solve for x
    x = 1,235,529.22/918.39
  6. Step 6: Final answer
    x = 1,345.32

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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.