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Finding the Fourth Proportional to 957.26, 1,432.26 and 567.47

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Solution

The fourth proportional to 957.26, 1,432.26 and 567.47 is: 849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.26 : 1,432.26 = 567.47 : x
  2. Step 2: Convert to fraction form
    957.26/1,432.26 = 567.47/x
  3. Step 3: Cross multiply
    957.26x = 1,432.26 × 567.47
  4. Step 4: Simplify right side
    957.26x = 812,764.58
  5. Step 5: Solve for x
    x = 812,764.58/957.26
  6. Step 6: Final answer
    x = 849.05

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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.