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Finding the Fourth Proportional to 957.30, 1,321.23 and 584.24

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Solution

The fourth proportional to 957.30, 1,321.23 and 584.24 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.30 : 1,321.23 = 584.24 : x
  2. Step 2: Convert to fraction form
    957.30/1,321.23 = 584.24/x
  3. Step 3: Cross multiply
    957.30x = 1,321.23 × 584.24
  4. Step 4: Simplify right side
    957.30x = 771,908.81
  5. Step 5: Solve for x
    x = 771,908.81/957.30
  6. Step 6: Final answer
    x = 806.34

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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.