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Finding the Fourth Proportional to 957.70, 1,321.64 and 584.70

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Solution

The fourth proportional to 957.70, 1,321.64 and 584.70 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,321.64 = 584.70 : x
  2. Step 2: Convert to fraction form
    957.70/1,321.64 = 584.70/x
  3. Step 3: Cross multiply
    957.70x = 1,321.64 × 584.70
  4. Step 4: Simplify right side
    957.70x = 772,762.91
  5. Step 5: Solve for x
    x = 772,762.91/957.70
  6. Step 6: Final answer
    x = 806.89

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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.