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Finding the Fourth Proportional to 1,206.58, 1,807.14 and 685.80

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Solution

The fourth proportional to 1,206.58, 1,807.14 and 685.80 is: 1,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.58 : 1,807.14 = 685.80 : x
  2. Step 2: Convert to fraction form
    1,206.58/1,807.14 = 685.80/x
  3. Step 3: Cross multiply
    1,206.58x = 1,807.14 × 685.80
  4. Step 4: Simplify right side
    1,206.58x = 1,239,336.61
  5. Step 5: Solve for x
    x = 1,239,336.61/1,206.58
  6. Step 6: Final answer
    x = 1,027.15

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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.