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Finding the Fourth Proportional to 957.57, 1,436.34 and 632.86

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Solution

The fourth proportional to 957.57, 1,436.34 and 632.86 is: 949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.57 : 1,436.34 = 632.86 : x
  2. Step 2: Convert to fraction form
    957.57/1,436.34 = 632.86/x
  3. Step 3: Cross multiply
    957.57x = 1,436.34 × 632.86
  4. Step 4: Simplify right side
    957.57x = 909,002.13
  5. Step 5: Solve for x
    x = 909,002.13/957.57
  6. Step 6: Final answer
    x = 949.28

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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.