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Finding the Fourth Proportional to 957.77, 1,321.60 and 538.06

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Solution

The fourth proportional to 957.77, 1,321.60 and 538.06 is: 742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.77 : 1,321.60 = 538.06 : x
  2. Step 2: Convert to fraction form
    957.77/1,321.60 = 538.06/x
  3. Step 3: Cross multiply
    957.77x = 1,321.60 × 538.06
  4. Step 4: Simplify right side
    957.77x = 711,097.41
  5. Step 5: Solve for x
    x = 711,097.41/957.77
  6. Step 6: Final answer
    x = 742.45

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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.