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Finding the Fourth Proportional to 873.82, 1,206.39 and 524.62

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Solution

The fourth proportional to 873.82, 1,206.39 and 524.62 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.82 : 1,206.39 = 524.62 : x
  2. Step 2: Convert to fraction form
    873.82/1,206.39 = 524.62/x
  3. Step 3: Cross multiply
    873.82x = 1,206.39 × 524.62
  4. Step 4: Simplify right side
    873.82x = 632,896.32
  5. Step 5: Solve for x
    x = 632,896.32/873.82
  6. Step 6: Final answer
    x = 724.29

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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.