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Finding the Fourth Proportional to 743.40, 1,024.48 and 533.22

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Solution

The fourth proportional to 743.40, 1,024.48 and 533.22 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,024.48 = 533.22 : x
  2. Step 2: Convert to fraction form
    743.40/1,024.48 = 533.22/x
  3. Step 3: Cross multiply
    743.40x = 1,024.48 × 533.22
  4. Step 4: Simplify right side
    743.40x = 546,273.23
  5. Step 5: Solve for x
    x = 546,273.23/743.40
  6. Step 6: Final answer
    x = 734.83

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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.