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Finding the Fourth Proportional to 785.53, 1,177.89 and 511.75

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Solution

The fourth proportional to 785.53, 1,177.89 and 511.75 is: 767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,177.89 = 511.75 : x
  2. Step 2: Convert to fraction form
    785.53/1,177.89 = 511.75/x
  3. Step 3: Cross multiply
    785.53x = 1,177.89 × 511.75
  4. Step 4: Simplify right side
    785.53x = 602,780.34
  5. Step 5: Solve for x
    x = 602,780.34/785.53
  6. Step 6: Final answer
    x = 767.36

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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.