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Finding the Fourth Proportional to 1,186.77, 1,780.19 and 493.48

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Solution

The fourth proportional to 1,186.77, 1,780.19 and 493.48 is: 740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.77 : 1,780.19 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,186.77/1,780.19 = 493.48/x
  3. Step 3: Cross multiply
    1,186.77x = 1,780.19 × 493.48
  4. Step 4: Simplify right side
    1,186.77x = 878,488.16
  5. Step 5: Solve for x
    x = 878,488.16/1,186.77
  6. Step 6: Final answer
    x = 740.23

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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.