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Finding the Fourth Proportional to 1,388.63, 2,082.95 and 556.07

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Solution

The fourth proportional to 1,388.63, 2,082.95 and 556.07 is: 834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.63 : 2,082.95 = 556.07 : x
  2. Step 2: Convert to fraction form
    1,388.63/2,082.95 = 556.07/x
  3. Step 3: Cross multiply
    1,388.63x = 2,082.95 × 556.07
  4. Step 4: Simplify right side
    1,388.63x = 1,158,255.33
  5. Step 5: Solve for x
    x = 1,158,255.33/1,388.63
  6. Step 6: Final answer
    x = 834.10

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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.