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Finding the Fourth Proportional to 724.77, 999.81 and 476.10

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Solution

The fourth proportional to 724.77, 999.81 and 476.10 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.77 : 999.81 = 476.10 : x
  2. Step 2: Convert to fraction form
    724.77/999.81 = 476.10/x
  3. Step 3: Cross multiply
    724.77x = 999.81 × 476.10
  4. Step 4: Simplify right side
    724.77x = 476,009.54
  5. Step 5: Solve for x
    x = 476,009.54/724.77
  6. Step 6: Final answer
    x = 656.77

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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.