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Finding the Fourth Proportional to 834.86, 1,152.02 and 480.71

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Solution

The fourth proportional to 834.86, 1,152.02 and 480.71 is: 663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.86 : 1,152.02 = 480.71 : x
  2. Step 2: Convert to fraction form
    834.86/1,152.02 = 480.71/x
  3. Step 3: Cross multiply
    834.86x = 1,152.02 × 480.71
  4. Step 4: Simplify right side
    834.86x = 553,790.50
  5. Step 5: Solve for x
    x = 553,790.50/834.86
  6. Step 6: Final answer
    x = 663.33

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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.