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Finding the Fourth Proportional to 1,084.79, 1,495.45 and 773.75

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Solution

The fourth proportional to 1,084.79, 1,495.45 and 773.75 is: 1,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.79 : 1,495.45 = 773.75 : x
  2. Step 2: Convert to fraction form
    1,084.79/1,495.45 = 773.75/x
  3. Step 3: Cross multiply
    1,084.79x = 1,495.45 × 773.75
  4. Step 4: Simplify right side
    1,084.79x = 1,157,104.44
  5. Step 5: Solve for x
    x = 1,157,104.44/1,084.79
  6. Step 6: Final answer
    x = 1,066.66

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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.