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Finding the Fourth Proportional to 1,364.16, 2,046.21 and 390.27

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Solution

The fourth proportional to 1,364.16, 2,046.21 and 390.27 is: 585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.16 : 2,046.21 = 390.27 : x
  2. Step 2: Convert to fraction form
    1,364.16/2,046.21 = 390.27/x
  3. Step 3: Cross multiply
    1,364.16x = 2,046.21 × 390.27
  4. Step 4: Simplify right side
    1,364.16x = 798,574.38
  5. Step 5: Solve for x
    x = 798,574.38/1,364.16
  6. Step 6: Final answer
    x = 585.40

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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.