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Finding the Fourth Proportional to 1,174.80, 1,762.78 and 830.35

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Solution

The fourth proportional to 1,174.80, 1,762.78 and 830.35 is: 1,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.80 : 1,762.78 = 830.35 : x
  2. Step 2: Convert to fraction form
    1,174.80/1,762.78 = 830.35/x
  3. Step 3: Cross multiply
    1,174.80x = 1,762.78 × 830.35
  4. Step 4: Simplify right side
    1,174.80x = 1,463,716.98
  5. Step 5: Solve for x
    x = 1,463,716.98/1,174.80
  6. Step 6: Final answer
    x = 1,245.93

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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.