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Finding the Fourth Proportional to 957.14, 1,438.04 and 784.94

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Solution

The fourth proportional to 957.14, 1,438.04 and 784.94 is: 1,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.14 : 1,438.04 = 784.94 : x
  2. Step 2: Convert to fraction form
    957.14/1,438.04 = 784.94/x
  3. Step 3: Cross multiply
    957.14x = 1,438.04 × 784.94
  4. Step 4: Simplify right side
    957.14x = 1,128,775.12
  5. Step 5: Solve for x
    x = 1,128,775.12/957.14
  6. Step 6: Final answer
    x = 1,179.32

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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.