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Finding the Fourth Proportional to 743.23, 1,024.47 and 585.62

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Solution

The fourth proportional to 743.23, 1,024.47 and 585.62 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.23 : 1,024.47 = 585.62 : x
  2. Step 2: Convert to fraction form
    743.23/1,024.47 = 585.62/x
  3. Step 3: Cross multiply
    743.23x = 1,024.47 × 585.62
  4. Step 4: Simplify right side
    743.23x = 599,951.04
  5. Step 5: Solve for x
    x = 599,951.04/743.23
  6. Step 6: Final answer
    x = 807.22

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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.