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Finding the Fourth Proportional to 841.86, 1,262.25 and 451.62

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Solution

The fourth proportional to 841.86, 1,262.25 and 451.62 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,262.25 = 451.62 : x
  2. Step 2: Convert to fraction form
    841.86/1,262.25 = 451.62/x
  3. Step 3: Cross multiply
    841.86x = 1,262.25 × 451.62
  4. Step 4: Simplify right side
    841.86x = 570,057.35
  5. Step 5: Solve for x
    x = 570,057.35/841.86
  6. Step 6: Final answer
    x = 677.14

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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.