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Finding the Fourth Proportional to 1,202.73, 1,658.64 and 782.61

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Solution

The fourth proportional to 1,202.73, 1,658.64 and 782.61 is: 1,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.73 : 1,658.64 = 782.61 : x
  2. Step 2: Convert to fraction form
    1,202.73/1,658.64 = 782.61/x
  3. Step 3: Cross multiply
    1,202.73x = 1,658.64 × 782.61
  4. Step 4: Simplify right side
    1,202.73x = 1,298,068.25
  5. Step 5: Solve for x
    x = 1,298,068.25/1,202.73
  6. Step 6: Final answer
    x = 1,079.27

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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.