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Finding the Fourth Proportional to 985.36, 1,478.27 and 492.05

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Solution

The fourth proportional to 985.36, 1,478.27 and 492.05 is: 738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,478.27 = 492.05 : x
  2. Step 2: Convert to fraction form
    985.36/1,478.27 = 492.05/x
  3. Step 3: Cross multiply
    985.36x = 1,478.27 × 492.05
  4. Step 4: Simplify right side
    985.36x = 727,382.75
  5. Step 5: Solve for x
    x = 727,382.75/985.36
  6. Step 6: Final answer
    x = 738.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.