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Finding the Fourth Proportional to 985.71, 1,478.61 and 523.92

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Solution

The fourth proportional to 985.71, 1,478.61 and 523.92 is: 785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.71 : 1,478.61 = 523.92 : x
  2. Step 2: Convert to fraction form
    985.71/1,478.61 = 523.92/x
  3. Step 3: Cross multiply
    985.71x = 1,478.61 × 523.92
  4. Step 4: Simplify right side
    985.71x = 774,673.35
  5. Step 5: Solve for x
    x = 774,673.35/985.71
  6. Step 6: Final answer
    x = 785.90

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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.