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Finding the Fourth Proportional to 743.05, 1,023.99 and 532.86

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Solution

The fourth proportional to 743.05, 1,023.99 and 532.86 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.05 : 1,023.99 = 532.86 : x
  2. Step 2: Convert to fraction form
    743.05/1,023.99 = 532.86/x
  3. Step 3: Cross multiply
    743.05x = 1,023.99 × 532.86
  4. Step 4: Simplify right side
    743.05x = 545,641.45
  5. Step 5: Solve for x
    x = 545,641.45/743.05
  6. Step 6: Final answer
    x = 734.33

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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.