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Finding the Fourth Proportional to 957.70, 1,318.98 and 833.32

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Solution

The fourth proportional to 957.70, 1,318.98 and 833.32 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,318.98 = 833.32 : x
  2. Step 2: Convert to fraction form
    957.70/1,318.98 = 833.32/x
  3. Step 3: Cross multiply
    957.70x = 1,318.98 × 833.32
  4. Step 4: Simplify right side
    957.70x = 1,099,132.41
  5. Step 5: Solve for x
    x = 1,099,132.41/957.70
  6. Step 6: Final answer
    x = 1,147.68

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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.