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Finding the Fourth Proportional to 743.06, 1,112.97 and 357.50

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Solution

The fourth proportional to 743.06, 1,112.97 and 357.50 is: 535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.06 : 1,112.97 = 357.50 : x
  2. Step 2: Convert to fraction form
    743.06/1,112.97 = 357.50/x
  3. Step 3: Cross multiply
    743.06x = 1,112.97 × 357.50
  4. Step 4: Simplify right side
    743.06x = 397,886.78
  5. Step 5: Solve for x
    x = 397,886.78/743.06
  6. Step 6: Final answer
    x = 535.47

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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.