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Finding the Fourth Proportional to 713.69, 1,070.40 and 193.73

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Solution

The fourth proportional to 713.69, 1,070.40 and 193.73 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.69 : 1,070.40 = 193.73 : x
  2. Step 2: Convert to fraction form
    713.69/1,070.40 = 193.73/x
  3. Step 3: Cross multiply
    713.69x = 1,070.40 × 193.73
  4. Step 4: Simplify right side
    713.69x = 207,368.59
  5. Step 5: Solve for x
    x = 207,368.59/713.69
  6. Step 6: Final answer
    x = 290.56

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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.