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Finding the Fourth Proportional to 967.88, 1,335.56 and 569.43

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Solution

The fourth proportional to 967.88, 1,335.56 and 569.43 is: 785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.88 : 1,335.56 = 569.43 : x
  2. Step 2: Convert to fraction form
    967.88/1,335.56 = 569.43/x
  3. Step 3: Cross multiply
    967.88x = 1,335.56 × 569.43
  4. Step 4: Simplify right side
    967.88x = 760,505.08
  5. Step 5: Solve for x
    x = 760,505.08/967.88
  6. Step 6: Final answer
    x = 785.74

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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.