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Finding the Fourth Proportional to 1,174.14, 1,761.21 and 687.33

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Solution

The fourth proportional to 1,174.14, 1,761.21 and 687.33 is: 1,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.14 : 1,761.21 = 687.33 : x
  2. Step 2: Convert to fraction form
    1,174.14/1,761.21 = 687.33/x
  3. Step 3: Cross multiply
    1,174.14x = 1,761.21 × 687.33
  4. Step 4: Simplify right side
    1,174.14x = 1,210,532.47
  5. Step 5: Solve for x
    x = 1,210,532.47/1,174.14
  6. Step 6: Final answer
    x = 1,031.00

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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.