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Finding the Fourth Proportional to 784.62, 1,177.32 and 511.38

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Solution

The fourth proportional to 784.62, 1,177.32 and 511.38 is: 767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.62 : 1,177.32 = 511.38 : x
  2. Step 2: Convert to fraction form
    784.62/1,177.32 = 511.38/x
  3. Step 3: Cross multiply
    784.62x = 1,177.32 × 511.38
  4. Step 4: Simplify right side
    784.62x = 602,057.90
  5. Step 5: Solve for x
    x = 602,057.90/784.62
  6. Step 6: Final answer
    x = 767.32

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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.