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Finding the Fourth Proportional to 1,391.30, 2,086.71 and 417.14

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Solution

The fourth proportional to 1,391.30, 2,086.71 and 417.14 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.30 : 2,086.71 = 417.14 : x
  2. Step 2: Convert to fraction form
    1,391.30/2,086.71 = 417.14/x
  3. Step 3: Cross multiply
    1,391.30x = 2,086.71 × 417.14
  4. Step 4: Simplify right side
    1,391.30x = 870,448.12
  5. Step 5: Solve for x
    x = 870,448.12/1,391.30
  6. Step 6: Final answer
    x = 625.64

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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.