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Finding the Fourth Proportional to 957.69, 1,437.02 and 409.73

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Solution

The fourth proportional to 957.69, 1,437.02 and 409.73 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.69 : 1,437.02 = 409.73 : x
  2. Step 2: Convert to fraction form
    957.69/1,437.02 = 409.73/x
  3. Step 3: Cross multiply
    957.69x = 1,437.02 × 409.73
  4. Step 4: Simplify right side
    957.69x = 588,784.04
  5. Step 5: Solve for x
    x = 588,784.04/957.69
  6. Step 6: Final answer
    x = 614.80

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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.