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Finding the Fourth Proportional to 957.50, 1,321.51 and 724.22

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Solution

The fourth proportional to 957.50, 1,321.51 and 724.22 is: 999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.50 : 1,321.51 = 724.22 : x
  2. Step 2: Convert to fraction form
    957.50/1,321.51 = 724.22/x
  3. Step 3: Cross multiply
    957.50x = 1,321.51 × 724.22
  4. Step 4: Simplify right side
    957.50x = 957,063.97
  5. Step 5: Solve for x
    x = 957,063.97/957.50
  6. Step 6: Final answer
    x = 999.54

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1.5x scale

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.