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Finding the Fourth Proportional to 823.62, 1,136.75 and 529.01

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Solution

The fourth proportional to 823.62, 1,136.75 and 529.01 is: 730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.62 : 1,136.75 = 529.01 : x
  2. Step 2: Convert to fraction form
    823.62/1,136.75 = 529.01/x
  3. Step 3: Cross multiply
    823.62x = 1,136.75 × 529.01
  4. Step 4: Simplify right side
    823.62x = 601,352.12
  5. Step 5: Solve for x
    x = 601,352.12/823.62
  6. Step 6: Final answer
    x = 730.13

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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.