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Finding the Fourth Proportional to 957.26, 1,435.90 and 766.10

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Solution

The fourth proportional to 957.26, 1,435.90 and 766.10 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.26 : 1,435.90 = 766.10 : x
  2. Step 2: Convert to fraction form
    957.26/1,435.90 = 766.10/x
  3. Step 3: Cross multiply
    957.26x = 1,435.90 × 766.10
  4. Step 4: Simplify right side
    957.26x = 1,100,042.99
  5. Step 5: Solve for x
    x = 1,100,042.99/957.26
  6. Step 6: Final answer
    x = 1,149.16

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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.