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Finding the Fourth Proportional to 1,182.95, 1,772.46 and 719.32

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Solution

The fourth proportional to 1,182.95, 1,772.46 and 719.32 is: 1,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.95 : 1,772.46 = 719.32 : x
  2. Step 2: Convert to fraction form
    1,182.95/1,772.46 = 719.32/x
  3. Step 3: Cross multiply
    1,182.95x = 1,772.46 × 719.32
  4. Step 4: Simplify right side
    1,182.95x = 1,274,961.50
  5. Step 5: Solve for x
    x = 1,274,961.50/1,182.95
  6. Step 6: Final answer
    x = 1,077.79

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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.