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Finding the Fourth Proportional to 1,174.70, 1,762.73 and 713.41

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Solution

The fourth proportional to 1,174.70, 1,762.73 and 713.41 is: 1,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.70 : 1,762.73 = 713.41 : x
  2. Step 2: Convert to fraction form
    1,174.70/1,762.73 = 713.41/x
  3. Step 3: Cross multiply
    1,174.70x = 1,762.73 × 713.41
  4. Step 4: Simplify right side
    1,174.70x = 1,257,549.21
  5. Step 5: Solve for x
    x = 1,257,549.21/1,174.70
  6. Step 6: Final answer
    x = 1,070.53

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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.