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Finding the Fourth Proportional to 1,174.96, 1,762.96 and 828.80

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Solution

The fourth proportional to 1,174.96, 1,762.96 and 828.80 is: 1,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.96 : 1,762.96 = 828.80 : x
  2. Step 2: Convert to fraction form
    1,174.96/1,762.96 = 828.80/x
  3. Step 3: Cross multiply
    1,174.96x = 1,762.96 × 828.80
  4. Step 4: Simplify right side
    1,174.96x = 1,461,141.25
  5. Step 5: Solve for x
    x = 1,461,141.25/1,174.96
  6. Step 6: Final answer
    x = 1,243.57

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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.