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Finding the Fourth Proportional to 957.78, 1,321.77 and 608.46

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Solution

The fourth proportional to 957.78, 1,321.77 and 608.46 is: 839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.78 : 1,321.77 = 608.46 : x
  2. Step 2: Convert to fraction form
    957.78/1,321.77 = 608.46/x
  3. Step 3: Cross multiply
    957.78x = 1,321.77 × 608.46
  4. Step 4: Simplify right side
    957.78x = 804,244.17
  5. Step 5: Solve for x
    x = 804,244.17/957.78
  6. Step 6: Final answer
    x = 839.70

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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.