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Finding the Fourth Proportional to 1,186.38, 1,780.02 and 492.87

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Solution

The fourth proportional to 1,186.38, 1,780.02 and 492.87 is: 739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.38 : 1,780.02 = 492.87 : x
  2. Step 2: Convert to fraction form
    1,186.38/1,780.02 = 492.87/x
  3. Step 3: Cross multiply
    1,186.38x = 1,780.02 × 492.87
  4. Step 4: Simplify right side
    1,186.38x = 877,313.63
  5. Step 5: Solve for x
    x = 877,313.63/1,186.38
  6. Step 6: Final answer
    x = 739.49

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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.