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Finding the Fourth Proportional to 985.38, 1,477.59 and 523.38

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Solution

The fourth proportional to 985.38, 1,477.59 and 523.38 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.38 : 1,477.59 = 523.38 : x
  2. Step 2: Convert to fraction form
    985.38/1,477.59 = 523.38/x
  3. Step 3: Cross multiply
    985.38x = 1,477.59 × 523.38
  4. Step 4: Simplify right side
    985.38x = 773,341.05
  5. Step 5: Solve for x
    x = 773,341.05/985.38
  6. Step 6: Final answer
    x = 784.82

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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.