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Finding the Fourth Proportional to 985.47, 1,477.75 and 336.03

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Solution

The fourth proportional to 985.47, 1,477.75 and 336.03 is: 503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.47 : 1,477.75 = 336.03 : x
  2. Step 2: Convert to fraction form
    985.47/1,477.75 = 336.03/x
  3. Step 3: Cross multiply
    985.47x = 1,477.75 × 336.03
  4. Step 4: Simplify right side
    985.47x = 496,568.33
  5. Step 5: Solve for x
    x = 496,568.33/985.47
  6. Step 6: Final answer
    x = 503.89

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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.