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Finding the Fourth Proportional to 784.80, 1,181.28 and 569.76

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Solution

The fourth proportional to 784.80, 1,181.28 and 569.76 is: 857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.80 : 1,181.28 = 569.76 : x
  2. Step 2: Convert to fraction form
    784.80/1,181.28 = 569.76/x
  3. Step 3: Cross multiply
    784.80x = 1,181.28 × 569.76
  4. Step 4: Simplify right side
    784.80x = 673,046.09
  5. Step 5: Solve for x
    x = 673,046.09/784.80
  6. Step 6: Final answer
    x = 857.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.