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Finding the Fourth Proportional to 1,077.85, 1,615.73 and 461.71

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Solution

The fourth proportional to 1,077.85, 1,615.73 and 461.71 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.85 : 1,615.73 = 461.71 : x
  2. Step 2: Convert to fraction form
    1,077.85/1,615.73 = 461.71/x
  3. Step 3: Cross multiply
    1,077.85x = 1,615.73 × 461.71
  4. Step 4: Simplify right side
    1,077.85x = 745,998.70
  5. Step 5: Solve for x
    x = 745,998.70/1,077.85
  6. Step 6: Final answer
    x = 692.12

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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.