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Finding the Fourth Proportional to 1,220.73, 1,684.58 and 696.93

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Solution

The fourth proportional to 1,220.73, 1,684.58 and 696.93 is: 961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.73 : 1,684.58 = 696.93 : x
  2. Step 2: Convert to fraction form
    1,220.73/1,684.58 = 696.93/x
  3. Step 3: Cross multiply
    1,220.73x = 1,684.58 × 696.93
  4. Step 4: Simplify right side
    1,220.73x = 1,174,030.85
  5. Step 5: Solve for x
    x = 1,174,030.85/1,220.73
  6. Step 6: Final answer
    x = 961.74

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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.