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Finding the Fourth Proportional to 957.52, 1,309.64 and 942.40

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Solution

The fourth proportional to 957.52, 1,309.64 and 942.40 is: 1,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.52 : 1,309.64 = 942.40 : x
  2. Step 2: Convert to fraction form
    957.52/1,309.64 = 942.40/x
  3. Step 3: Cross multiply
    957.52x = 1,309.64 × 942.40
  4. Step 4: Simplify right side
    957.52x = 1,234,204.74
  5. Step 5: Solve for x
    x = 1,234,204.74/957.52
  6. Step 6: Final answer
    x = 1,288.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.