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Finding the Fourth Proportional to 957.45, 1,434.75 and 567.54

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Solution

The fourth proportional to 957.45, 1,434.75 and 567.54 is: 850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.45 : 1,434.75 = 567.54 : x
  2. Step 2: Convert to fraction form
    957.45/1,434.75 = 567.54/x
  3. Step 3: Cross multiply
    957.45x = 1,434.75 × 567.54
  4. Step 4: Simplify right side
    957.45x = 814,278.02
  5. Step 5: Solve for x
    x = 814,278.02/957.45
  6. Step 6: Final answer
    x = 850.47

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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.