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Finding the Fourth Proportional to 985.96, 1,477.98 and 499.24

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Solution

The fourth proportional to 985.96, 1,477.98 and 499.24 is: 748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.96 : 1,477.98 = 499.24 : x
  2. Step 2: Convert to fraction form
    985.96/1,477.98 = 499.24/x
  3. Step 3: Cross multiply
    985.96x = 1,477.98 × 499.24
  4. Step 4: Simplify right side
    985.96x = 737,866.74
  5. Step 5: Solve for x
    x = 737,866.74/985.96
  6. Step 6: Final answer
    x = 748.37

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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.