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Finding the Fourth Proportional to 1,077.16, 1,486.32 and 611.44

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Solution

The fourth proportional to 1,077.16, 1,486.32 and 611.44 is: 843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.16 : 1,486.32 = 611.44 : x
  2. Step 2: Convert to fraction form
    1,077.16/1,486.32 = 611.44/x
  3. Step 3: Cross multiply
    1,077.16x = 1,486.32 × 611.44
  4. Step 4: Simplify right side
    1,077.16x = 908,795.50
  5. Step 5: Solve for x
    x = 908,795.50/1,077.16
  6. Step 6: Final answer
    x = 843.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.