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Finding the Fourth Proportional to 1,182.92, 1,777.26 and 670.28

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Solution

The fourth proportional to 1,182.92, 1,777.26 and 670.28 is: 1,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.92 : 1,777.26 = 670.28 : x
  2. Step 2: Convert to fraction form
    1,182.92/1,777.26 = 670.28/x
  3. Step 3: Cross multiply
    1,182.92x = 1,777.26 × 670.28
  4. Step 4: Simplify right side
    1,182.92x = 1,191,261.83
  5. Step 5: Solve for x
    x = 1,191,261.83/1,182.92
  6. Step 6: Final answer
    x = 1,007.05

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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.