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Finding the Fourth Proportional to 967.69, 1,335.28 and 569.12

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Solution

The fourth proportional to 967.69, 1,335.28 and 569.12 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.69 : 1,335.28 = 569.12 : x
  2. Step 2: Convert to fraction form
    967.69/1,335.28 = 569.12/x
  3. Step 3: Cross multiply
    967.69x = 1,335.28 × 569.12
  4. Step 4: Simplify right side
    967.69x = 759,934.76
  5. Step 5: Solve for x
    x = 759,934.76/967.69
  6. Step 6: Final answer
    x = 785.31

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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.