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Finding the Fourth Proportional to 957.69, 1,435.86 and 409.59

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Solution

The fourth proportional to 957.69, 1,435.86 and 409.59 is: 614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.69 : 1,435.86 = 409.59 : x
  2. Step 2: Convert to fraction form
    957.69/1,435.86 = 409.59/x
  3. Step 3: Cross multiply
    957.69x = 1,435.86 × 409.59
  4. Step 4: Simplify right side
    957.69x = 588,113.90
  5. Step 5: Solve for x
    x = 588,113.90/957.69
  6. Step 6: Final answer
    x = 614.10

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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.