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Finding the Fourth Proportional to 1,206.58, 1,665.14 and 682.64

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Solution

The fourth proportional to 1,206.58, 1,665.14 and 682.64 is: 942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.58 : 1,665.14 = 682.64 : x
  2. Step 2: Convert to fraction form
    1,206.58/1,665.14 = 682.64/x
  3. Step 3: Cross multiply
    1,206.58x = 1,665.14 × 682.64
  4. Step 4: Simplify right side
    1,206.58x = 1,136,691.17
  5. Step 5: Solve for x
    x = 1,136,691.17/1,206.58
  6. Step 6: Final answer
    x = 942.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.