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Finding the Fourth Proportional to 957.93, 1,322.02 and 538.35

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Solution

The fourth proportional to 957.93, 1,322.02 and 538.35 is: 742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.93 : 1,322.02 = 538.35 : x
  2. Step 2: Convert to fraction form
    957.93/1,322.02 = 538.35/x
  3. Step 3: Cross multiply
    957.93x = 1,322.02 × 538.35
  4. Step 4: Simplify right side
    957.93x = 711,705.18
  5. Step 5: Solve for x
    x = 711,705.18/957.93
  6. Step 6: Final answer
    x = 742.96

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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.