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Finding the Fourth Proportional to 957.66, 1,433.72 and 709.80

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Solution

The fourth proportional to 957.66, 1,433.72 and 709.80 is: 1,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.66 : 1,433.72 = 709.80 : x
  2. Step 2: Convert to fraction form
    957.66/1,433.72 = 709.80/x
  3. Step 3: Cross multiply
    957.66x = 1,433.72 × 709.80
  4. Step 4: Simplify right side
    957.66x = 1,017,650.91
  5. Step 5: Solve for x
    x = 1,017,650.91/957.66
  6. Step 6: Final answer
    x = 1,062.64

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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.