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Finding the Fourth Proportional to 957.86, 1,436.80 and 264.46

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Solution

The fourth proportional to 957.86, 1,436.80 and 264.46 is: 396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.86 : 1,436.80 = 264.46 : x
  2. Step 2: Convert to fraction form
    957.86/1,436.80 = 264.46/x
  3. Step 3: Cross multiply
    957.86x = 1,436.80 × 264.46
  4. Step 4: Simplify right side
    957.86x = 379,976.13
  5. Step 5: Solve for x
    x = 379,976.13/957.86
  6. Step 6: Final answer
    x = 396.69

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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.