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Finding the Fourth Proportional to 1,780.46, 2,670.69 and 685.34

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Solution

The fourth proportional to 1,780.46, 2,670.69 and 685.34 is: 1,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.46 : 2,670.69 = 685.34 : x
  2. Step 2: Convert to fraction form
    1,780.46/2,670.69 = 685.34/x
  3. Step 3: Cross multiply
    1,780.46x = 2,670.69 × 685.34
  4. Step 4: Simplify right side
    1,780.46x = 1,830,330.68
  5. Step 5: Solve for x
    x = 1,830,330.68/1,780.46
  6. Step 6: Final answer
    x = 1,028.01

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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.