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Finding the Fourth Proportional to 1,022.70, 1,403.48 and 957.90

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Solution

The fourth proportional to 1,022.70, 1,403.48 and 957.90 is: 1,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.70 : 1,403.48 = 957.90 : x
  2. Step 2: Convert to fraction form
    1,022.70/1,403.48 = 957.90/x
  3. Step 3: Cross multiply
    1,022.70x = 1,403.48 × 957.90
  4. Step 4: Simplify right side
    1,022.70x = 1,344,388.70
  5. Step 5: Solve for x
    x = 1,344,388.70/1,022.70
  6. Step 6: Final answer
    x = 1,314.55

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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.