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Finding the Fourth Proportional to 713.91, 1,070.93 and 193.94

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Solution

The fourth proportional to 713.91, 1,070.93 and 193.94 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.91 : 1,070.93 = 193.94 : x
  2. Step 2: Convert to fraction form
    713.91/1,070.93 = 193.94/x
  3. Step 3: Cross multiply
    713.91x = 1,070.93 × 193.94
  4. Step 4: Simplify right side
    713.91x = 207,696.16
  5. Step 5: Solve for x
    x = 207,696.16/713.91
  6. Step 6: Final answer
    x = 290.93

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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.