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Finding the Fourth Proportional to 1,182.06, 1,765.04 and 1,057.86

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Solution

The fourth proportional to 1,182.06, 1,765.04 and 1,057.86 is: 1,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.06 : 1,765.04 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    1,182.06/1,765.04 = 1,057.86/x
  3. Step 3: Cross multiply
    1,182.06x = 1,765.04 × 1,057.86
  4. Step 4: Simplify right side
    1,182.06x = 1,867,159.93
  5. Step 5: Solve for x
    x = 1,867,159.93/1,182.06
  6. Step 6: Final answer
    x = 1,579.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.