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Finding the Fourth Proportional to 1,262.83, 1,894.24 and 397.14

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Solution

The fourth proportional to 1,262.83, 1,894.24 and 397.14 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.83 : 1,894.24 = 397.14 : x
  2. Step 2: Convert to fraction form
    1,262.83/1,894.24 = 397.14/x
  3. Step 3: Cross multiply
    1,262.83x = 1,894.24 × 397.14
  4. Step 4: Simplify right side
    1,262.83x = 752,278.47
  5. Step 5: Solve for x
    x = 752,278.47/1,262.83
  6. Step 6: Final answer
    x = 595.71

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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.