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Finding the Fourth Proportional to 957.62, 1,435.59 and 812.31

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Solution

The fourth proportional to 957.62, 1,435.59 and 812.31 is: 1,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,435.59 = 812.31 : x
  2. Step 2: Convert to fraction form
    957.62/1,435.59 = 812.31/x
  3. Step 3: Cross multiply
    957.62x = 1,435.59 × 812.31
  4. Step 4: Simplify right side
    957.62x = 1,166,144.11
  5. Step 5: Solve for x
    x = 1,166,144.11/957.62
  6. Step 6: Final answer
    x = 1,217.76

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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.