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Finding the Fourth Proportional to 785.12, 1,177.67 and 540.90

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Solution

The fourth proportional to 785.12, 1,177.67 and 540.90 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,177.67 = 540.90 : x
  2. Step 2: Convert to fraction form
    785.12/1,177.67 = 540.90/x
  3. Step 3: Cross multiply
    785.12x = 1,177.67 × 540.90
  4. Step 4: Simplify right side
    785.12x = 637,003.06
  5. Step 5: Solve for x
    x = 637,003.06/785.12
  6. Step 6: Final answer
    x = 811.35

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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.