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Finding the Fourth Proportional to 1,150.80, 1,723.13 and 786.30

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Solution

The fourth proportional to 1,150.80, 1,723.13 and 786.30 is: 1,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.80 : 1,723.13 = 786.30 : x
  2. Step 2: Convert to fraction form
    1,150.80/1,723.13 = 786.30/x
  3. Step 3: Cross multiply
    1,150.80x = 1,723.13 × 786.30
  4. Step 4: Simplify right side
    1,150.80x = 1,354,897.12
  5. Step 5: Solve for x
    x = 1,354,897.12/1,150.80
  6. Step 6: Final answer
    x = 1,177.35

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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.