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Finding the Fourth Proportional to 743.56, 1,024.97 and 585.91

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Solution

The fourth proportional to 743.56, 1,024.97 and 585.91 is: 807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.56 : 1,024.97 = 585.91 : x
  2. Step 2: Convert to fraction form
    743.56/1,024.97 = 585.91/x
  3. Step 3: Cross multiply
    743.56x = 1,024.97 × 585.91
  4. Step 4: Simplify right side
    743.56x = 600,539.08
  5. Step 5: Solve for x
    x = 600,539.08/743.56
  6. Step 6: Final answer
    x = 807.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.