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Finding the Fourth Proportional to 1,363.96, 2,046.10 and 390.14

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Solution

The fourth proportional to 1,363.96, 2,046.10 and 390.14 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.96 : 2,046.10 = 390.14 : x
  2. Step 2: Convert to fraction form
    1,363.96/2,046.10 = 390.14/x
  3. Step 3: Cross multiply
    1,363.96x = 2,046.10 × 390.14
  4. Step 4: Simplify right side
    1,363.96x = 798,265.45
  5. Step 5: Solve for x
    x = 798,265.45/1,363.96
  6. Step 6: Final answer
    x = 585.26

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Why These Related Problems?

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