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Finding the Fourth Proportional to 967.48, 1,335.09 and 574.27

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Solution

The fourth proportional to 967.48, 1,335.09 and 574.27 is: 792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.48 : 1,335.09 = 574.27 : x
  2. Step 2: Convert to fraction form
    967.48/1,335.09 = 574.27/x
  3. Step 3: Cross multiply
    967.48x = 1,335.09 × 574.27
  4. Step 4: Simplify right side
    967.48x = 766,702.13
  5. Step 5: Solve for x
    x = 766,702.13/967.48
  6. Step 6: Final answer
    x = 792.47

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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.