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Finding the Fourth Proportional to 985.16, 1,478.48 and 546.80

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Solution

The fourth proportional to 985.16, 1,478.48 and 546.80 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.16 : 1,478.48 = 546.80 : x
  2. Step 2: Convert to fraction form
    985.16/1,478.48 = 546.80/x
  3. Step 3: Cross multiply
    985.16x = 1,478.48 × 546.80
  4. Step 4: Simplify right side
    985.16x = 808,432.59
  5. Step 5: Solve for x
    x = 808,432.59/985.16
  6. Step 6: Final answer
    x = 820.61

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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.