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Finding the Fourth Proportional to 957.06, 1,432.02 and 546.48

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Solution

The fourth proportional to 957.06, 1,432.02 and 546.48 is: 817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.06 : 1,432.02 = 546.48 : x
  2. Step 2: Convert to fraction form
    957.06/1,432.02 = 546.48/x
  3. Step 3: Cross multiply
    957.06x = 1,432.02 × 546.48
  4. Step 4: Simplify right side
    957.06x = 782,570.29
  5. Step 5: Solve for x
    x = 782,570.29/957.06
  6. Step 6: Final answer
    x = 817.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.