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Finding the Fourth Proportional to 957.34, 1,436.15 and 409.51

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Solution

The fourth proportional to 957.34, 1,436.15 and 409.51 is: 614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.34 : 1,436.15 = 409.51 : x
  2. Step 2: Convert to fraction form
    957.34/1,436.15 = 409.51/x
  3. Step 3: Cross multiply
    957.34x = 1,436.15 × 409.51
  4. Step 4: Simplify right side
    957.34x = 588,115.74
  5. Step 5: Solve for x
    x = 588,115.74/957.34
  6. Step 6: Final answer
    x = 614.32

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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.