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Finding the Fourth Proportional to 654.66, 983.24 and 562.32

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Solution

The fourth proportional to 654.66, 983.24 and 562.32 is: 844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 983.24 = 562.32 : x
  2. Step 2: Convert to fraction form
    654.66/983.24 = 562.32/x
  3. Step 3: Cross multiply
    654.66x = 983.24 × 562.32
  4. Step 4: Simplify right side
    654.66x = 552,892.71
  5. Step 5: Solve for x
    x = 552,892.71/654.66
  6. Step 6: Final answer
    x = 844.55

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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.