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Finding the Fourth Proportional to 957.53, 1,434.27 and 546.46

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Solution

The fourth proportional to 957.53, 1,434.27 and 546.46 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.53 : 1,434.27 = 546.46 : x
  2. Step 2: Convert to fraction form
    957.53/1,434.27 = 546.46/x
  3. Step 3: Cross multiply
    957.53x = 1,434.27 × 546.46
  4. Step 4: Simplify right side
    957.53x = 783,771.18
  5. Step 5: Solve for x
    x = 783,771.18/957.53
  6. Step 6: Final answer
    x = 818.53

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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.