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Finding the Fourth Proportional to 957.71, 1,321.57 and 538.10

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Solution

The fourth proportional to 957.71, 1,321.57 and 538.10 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.71 : 1,321.57 = 538.10 : x
  2. Step 2: Convert to fraction form
    957.71/1,321.57 = 538.10/x
  3. Step 3: Cross multiply
    957.71x = 1,321.57 × 538.10
  4. Step 4: Simplify right side
    957.71x = 711,133.82
  5. Step 5: Solve for x
    x = 711,133.82/957.71
  6. Step 6: Final answer
    x = 742.54

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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.