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Finding the Fourth Proportional to 957.70, 1,321.59 and 538.01

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Solution

The fourth proportional to 957.70, 1,321.59 and 538.01 is: 742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,321.59 = 538.01 : x
  2. Step 2: Convert to fraction form
    957.70/1,321.59 = 538.01/x
  3. Step 3: Cross multiply
    957.70x = 1,321.59 × 538.01
  4. Step 4: Simplify right side
    957.70x = 711,028.64
  5. Step 5: Solve for x
    x = 711,028.64/957.70
  6. Step 6: Final answer
    x = 742.43

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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.