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Finding the Fourth Proportional to 713.48, 1,070.13 and 193.52

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Solution

The fourth proportional to 713.48, 1,070.13 and 193.52 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.48 : 1,070.13 = 193.52 : x
  2. Step 2: Convert to fraction form
    713.48/1,070.13 = 193.52/x
  3. Step 3: Cross multiply
    713.48x = 1,070.13 × 193.52
  4. Step 4: Simplify right side
    713.48x = 207,091.56
  5. Step 5: Solve for x
    x = 207,091.56/713.48
  6. Step 6: Final answer
    x = 290.26

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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.