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Finding the Fourth Proportional to 957.94, 1,437.23 and 410.59

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Solution

The fourth proportional to 957.94, 1,437.23 and 410.59 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 1,437.23 = 410.59 : x
  2. Step 2: Convert to fraction form
    957.94/1,437.23 = 410.59/x
  3. Step 3: Cross multiply
    957.94x = 1,437.23 × 410.59
  4. Step 4: Simplify right side
    957.94x = 590,112.27
  5. Step 5: Solve for x
    x = 590,112.27/957.94
  6. Step 6: Final answer
    x = 616.02

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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.