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Finding the Fourth Proportional to 1,174.64, 1,762.12 and 626.80

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Solution

The fourth proportional to 1,174.64, 1,762.12 and 626.80 is: 940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.64 : 1,762.12 = 626.80 : x
  2. Step 2: Convert to fraction form
    1,174.64/1,762.12 = 626.80/x
  3. Step 3: Cross multiply
    1,174.64x = 1,762.12 × 626.80
  4. Step 4: Simplify right side
    1,174.64x = 1,104,496.82
  5. Step 5: Solve for x
    x = 1,104,496.82/1,174.64
  6. Step 6: Final answer
    x = 940.29

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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.