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Finding the Fourth Proportional to 1,207.43, 1,811.15 and 476.61

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Solution

The fourth proportional to 1,207.43, 1,811.15 and 476.61 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.43 : 1,811.15 = 476.61 : x
  2. Step 2: Convert to fraction form
    1,207.43/1,811.15 = 476.61/x
  3. Step 3: Cross multiply
    1,207.43x = 1,811.15 × 476.61
  4. Step 4: Simplify right side
    1,207.43x = 863,212.20
  5. Step 5: Solve for x
    x = 863,212.20/1,207.43
  6. Step 6: Final answer
    x = 714.92

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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.