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Finding the Fourth Proportional to 957.60, 1,436.84 and 568.37

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Solution

The fourth proportional to 957.60, 1,436.84 and 568.37 is: 852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.60 : 1,436.84 = 568.37 : x
  2. Step 2: Convert to fraction form
    957.60/1,436.84 = 568.37/x
  3. Step 3: Cross multiply
    957.60x = 1,436.84 × 568.37
  4. Step 4: Simplify right side
    957.60x = 816,656.75
  5. Step 5: Solve for x
    x = 816,656.75/957.60
  6. Step 6: Final answer
    x = 852.82

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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.