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Finding the Fourth Proportional to 666.63, 920.03 and 500.56

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Solution

The fourth proportional to 666.63, 920.03 and 500.56 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 920.03 = 500.56 : x
  2. Step 2: Convert to fraction form
    666.63/920.03 = 500.56/x
  3. Step 3: Cross multiply
    666.63x = 920.03 × 500.56
  4. Step 4: Simplify right side
    666.63x = 460,525.41
  5. Step 5: Solve for x
    x = 460,525.41/666.63
  6. Step 6: Final answer
    x = 690.83

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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.