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Finding the Fourth Proportional to 957.14, 1,435.40 and 409.01

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Solution

The fourth proportional to 957.14, 1,435.40 and 409.01 is: 613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.14 : 1,435.40 = 409.01 : x
  2. Step 2: Convert to fraction form
    957.14/1,435.40 = 409.01/x
  3. Step 3: Cross multiply
    957.14x = 1,435.40 × 409.01
  4. Step 4: Simplify right side
    957.14x = 587,090.91
  5. Step 5: Solve for x
    x = 587,090.91/957.14
  6. Step 6: Final answer
    x = 613.38

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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.