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Finding the Fourth Proportional to 922.66, 1,382.70 and 716.28

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Solution

The fourth proportional to 922.66, 1,382.70 and 716.28 is: 1,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.66 : 1,382.70 = 716.28 : x
  2. Step 2: Convert to fraction form
    922.66/1,382.70 = 716.28/x
  3. Step 3: Cross multiply
    922.66x = 1,382.70 × 716.28
  4. Step 4: Simplify right side
    922.66x = 990,400.36
  5. Step 5: Solve for x
    x = 990,400.36/922.66
  6. Step 6: Final answer
    x = 1,073.42

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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.