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Finding the Fourth Proportional to 1,277.03, 1,914.15 and 547.04

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Solution

The fourth proportional to 1,277.03, 1,914.15 and 547.04 is: 819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.03 : 1,914.15 = 547.04 : x
  2. Step 2: Convert to fraction form
    1,277.03/1,914.15 = 547.04/x
  3. Step 3: Cross multiply
    1,277.03x = 1,914.15 × 547.04
  4. Step 4: Simplify right side
    1,277.03x = 1,047,116.62
  5. Step 5: Solve for x
    x = 1,047,116.62/1,277.03
  6. Step 6: Final answer
    x = 819.96

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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.