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Finding the Fourth Proportional to 957.75, 1,321.70 and 543.75

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Solution

The fourth proportional to 957.75, 1,321.70 and 543.75 is: 750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.75 : 1,321.70 = 543.75 : x
  2. Step 2: Convert to fraction form
    957.75/1,321.70 = 543.75/x
  3. Step 3: Cross multiply
    957.75x = 1,321.70 × 543.75
  4. Step 4: Simplify right side
    957.75x = 718,671.66
  5. Step 5: Solve for x
    x = 718,671.66/957.75
  6. Step 6: Final answer
    x = 750.38

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Double scale
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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.