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Finding the Fourth Proportional to 957.57, 1,321.47 and 608.85

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Solution

The fourth proportional to 957.57, 1,321.47 and 608.85 is: 840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.57 : 1,321.47 = 608.85 : x
  2. Step 2: Convert to fraction form
    957.57/1,321.47 = 608.85/x
  3. Step 3: Cross multiply
    957.57x = 1,321.47 × 608.85
  4. Step 4: Simplify right side
    957.57x = 804,577.01
  5. Step 5: Solve for x
    x = 804,577.01/957.57
  6. Step 6: Final answer
    x = 840.23

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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.