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Finding the Fourth Proportional to 743.44, 1,024.84 and 585.76

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Solution

The fourth proportional to 743.44, 1,024.84 and 585.76 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.44 : 1,024.84 = 585.76 : x
  2. Step 2: Convert to fraction form
    743.44/1,024.84 = 585.76/x
  3. Step 3: Cross multiply
    743.44x = 1,024.84 × 585.76
  4. Step 4: Simplify right side
    743.44x = 600,310.28
  5. Step 5: Solve for x
    x = 600,310.28/743.44
  6. Step 6: Final answer
    x = 807.48

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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.