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Finding the Fourth Proportional to 1,188.46, 1,780.85 and 494.54

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Solution

The fourth proportional to 1,188.46, 1,780.85 and 494.54 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.46 : 1,780.85 = 494.54 : x
  2. Step 2: Convert to fraction form
    1,188.46/1,780.85 = 494.54/x
  3. Step 3: Cross multiply
    1,188.46x = 1,780.85 × 494.54
  4. Step 4: Simplify right side
    1,188.46x = 880,700.57
  5. Step 5: Solve for x
    x = 880,700.57/1,188.46
  6. Step 6: Final answer
    x = 741.05

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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.