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Finding the Fourth Proportional to 1,186.80, 1,780.76 and 456.64

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Solution

The fourth proportional to 1,186.80, 1,780.76 and 456.64 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.80 : 1,780.76 = 456.64 : x
  2. Step 2: Convert to fraction form
    1,186.80/1,780.76 = 456.64/x
  3. Step 3: Cross multiply
    1,186.80x = 1,780.76 × 456.64
  4. Step 4: Simplify right side
    1,186.80x = 813,166.25
  5. Step 5: Solve for x
    x = 813,166.25/1,186.80
  6. Step 6: Final answer
    x = 685.18

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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.