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Finding the Fourth Proportional to 957.10, 1,320.31 and 825.88

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Solution

The fourth proportional to 957.10, 1,320.31 and 825.88 is: 1,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.10 : 1,320.31 = 825.88 : x
  2. Step 2: Convert to fraction form
    957.10/1,320.31 = 825.88/x
  3. Step 3: Cross multiply
    957.10x = 1,320.31 × 825.88
  4. Step 4: Simplify right side
    957.10x = 1,090,417.62
  5. Step 5: Solve for x
    x = 1,090,417.62/957.10
  6. Step 6: Final answer
    x = 1,139.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.