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Finding the Fourth Proportional to 1,262.52, 1,892.46 and 612.90

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Solution

The fourth proportional to 1,262.52, 1,892.46 and 612.90 is: 918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.52 : 1,892.46 = 612.90 : x
  2. Step 2: Convert to fraction form
    1,262.52/1,892.46 = 612.90/x
  3. Step 3: Cross multiply
    1,262.52x = 1,892.46 × 612.90
  4. Step 4: Simplify right side
    1,262.52x = 1,159,888.73
  5. Step 5: Solve for x
    x = 1,159,888.73/1,262.52
  6. Step 6: Final answer
    x = 918.71

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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.