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Finding the Fourth Proportional to 661.92, 912.60 and 595.68

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Solution

The fourth proportional to 661.92, 912.60 and 595.68 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 912.60 = 595.68 : x
  2. Step 2: Convert to fraction form
    661.92/912.60 = 595.68/x
  3. Step 3: Cross multiply
    661.92x = 912.60 × 595.68
  4. Step 4: Simplify right side
    661.92x = 543,617.57
  5. Step 5: Solve for x
    x = 543,617.57/661.92
  6. Step 6: Final answer
    x = 821.27

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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.