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Finding the Fourth Proportional to 661.46, 912.65 and 504.05

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Solution

The fourth proportional to 661.46, 912.65 and 504.05 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 912.65 = 504.05 : x
  2. Step 2: Convert to fraction form
    661.46/912.65 = 504.05/x
  3. Step 3: Cross multiply
    661.46x = 912.65 × 504.05
  4. Step 4: Simplify right side
    661.46x = 460,014.15
  5. Step 5: Solve for x
    x = 460,014.15/661.46
  6. Step 6: Final answer
    x = 695.46

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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.