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Finding the Fourth Proportional to 784.56, 1,177.32 and 511.44

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Solution

The fourth proportional to 784.56, 1,177.32 and 511.44 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.56 : 1,177.32 = 511.44 : x
  2. Step 2: Convert to fraction form
    784.56/1,177.32 = 511.44/x
  3. Step 3: Cross multiply
    784.56x = 1,177.32 × 511.44
  4. Step 4: Simplify right side
    784.56x = 602,128.54
  5. Step 5: Solve for x
    x = 602,128.54/784.56
  6. Step 6: Final answer
    x = 767.47

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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.