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Finding the Fourth Proportional to 985.71, 1,477.17 and 523.70

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Solution

The fourth proportional to 985.71, 1,477.17 and 523.70 is: 784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.71 : 1,477.17 = 523.70 : x
  2. Step 2: Convert to fraction form
    985.71/1,477.17 = 523.70/x
  3. Step 3: Cross multiply
    985.71x = 1,477.17 × 523.70
  4. Step 4: Simplify right side
    985.71x = 773,593.93
  5. Step 5: Solve for x
    x = 773,593.93/985.71
  6. Step 6: Final answer
    x = 784.81

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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.