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Finding the Fourth Proportional to 957.66, 1,321.17 and 584.57

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Solution

The fourth proportional to 957.66, 1,321.17 and 584.57 is: 806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.66 : 1,321.17 = 584.57 : x
  2. Step 2: Convert to fraction form
    957.66/1,321.17 = 584.57/x
  3. Step 3: Cross multiply
    957.66x = 1,321.17 × 584.57
  4. Step 4: Simplify right side
    957.66x = 772,316.35
  5. Step 5: Solve for x
    x = 772,316.35/957.66
  6. Step 6: Final answer
    x = 806.46

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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.