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Finding the Fourth Proportional to 957.90, 1,320.06 and 956.28

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Solution

The fourth proportional to 957.90, 1,320.06 and 956.28 is: 1,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.90 : 1,320.06 = 956.28 : x
  2. Step 2: Convert to fraction form
    957.90/1,320.06 = 956.28/x
  3. Step 3: Cross multiply
    957.90x = 1,320.06 × 956.28
  4. Step 4: Simplify right side
    957.90x = 1,262,346.98
  5. Step 5: Solve for x
    x = 1,262,346.98/957.90
  6. Step 6: Final answer
    x = 1,317.83

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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.