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Finding the Fourth Proportional to 652.05, 976.83 and 564.47

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Solution

The fourth proportional to 652.05, 976.83 and 564.47 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.05 : 976.83 = 564.47 : x
  2. Step 2: Convert to fraction form
    652.05/976.83 = 564.47/x
  3. Step 3: Cross multiply
    652.05x = 976.83 × 564.47
  4. Step 4: Simplify right side
    652.05x = 551,387.89
  5. Step 5: Solve for x
    x = 551,387.89/652.05
  6. Step 6: Final answer
    x = 845.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.