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Finding the Fourth Proportional to 1,182.21, 1,632.12 and 740.34

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Solution

The fourth proportional to 1,182.21, 1,632.12 and 740.34 is: 1,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.21 : 1,632.12 = 740.34 : x
  2. Step 2: Convert to fraction form
    1,182.21/1,632.12 = 740.34/x
  3. Step 3: Cross multiply
    1,182.21x = 1,632.12 × 740.34
  4. Step 4: Simplify right side
    1,182.21x = 1,208,323.72
  5. Step 5: Solve for x
    x = 1,208,323.72/1,182.21
  6. Step 6: Final answer
    x = 1,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.