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Finding the Fourth Proportional to 1,180.31, 1,771.88 and 785.30

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Solution

The fourth proportional to 1,180.31, 1,771.88 and 785.30 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.31 : 1,771.88 = 785.30 : x
  2. Step 2: Convert to fraction form
    1,180.31/1,771.88 = 785.30/x
  3. Step 3: Cross multiply
    1,180.31x = 1,771.88 × 785.30
  4. Step 4: Simplify right side
    1,180.31x = 1,391,444.58
  5. Step 5: Solve for x
    x = 1,391,444.58/1,180.31
  6. Step 6: Final answer
    x = 1,178.89

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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.