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Finding the Fourth Proportional to 957.56, 1,435.05 and 409.59

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Solution

The fourth proportional to 957.56, 1,435.05 and 409.59 is: 613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.56 : 1,435.05 = 409.59 : x
  2. Step 2: Convert to fraction form
    957.56/1,435.05 = 409.59/x
  3. Step 3: Cross multiply
    957.56x = 1,435.05 × 409.59
  4. Step 4: Simplify right side
    957.56x = 587,782.13
  5. Step 5: Solve for x
    x = 587,782.13/957.56
  6. Step 6: Final answer
    x = 613.84

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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.