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Finding the Fourth Proportional to 1,077.69, 1,617.08 and 461.23

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Solution

The fourth proportional to 1,077.69, 1,617.08 and 461.23 is: 692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.69 : 1,617.08 = 461.23 : x
  2. Step 2: Convert to fraction form
    1,077.69/1,617.08 = 461.23/x
  3. Step 3: Cross multiply
    1,077.69x = 1,617.08 × 461.23
  4. Step 4: Simplify right side
    1,077.69x = 745,837.72
  5. Step 5: Solve for x
    x = 745,837.72/1,077.69
  6. Step 6: Final answer
    x = 692.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.