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Finding the Fourth Proportional to 660.48, 989.72 and 477.68

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Solution

The fourth proportional to 660.48, 989.72 and 477.68 is: 715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 989.72 = 477.68 : x
  2. Step 2: Convert to fraction form
    660.48/989.72 = 477.68/x
  3. Step 3: Cross multiply
    660.48x = 989.72 × 477.68
  4. Step 4: Simplify right side
    660.48x = 472,769.45
  5. Step 5: Solve for x
    x = 472,769.45/660.48
  6. Step 6: Final answer
    x = 715.80

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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.