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Finding the Fourth Proportional to 985.93, 1,478.91 and 498.88

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Solution

The fourth proportional to 985.93, 1,478.91 and 498.88 is: 748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,478.91 = 498.88 : x
  2. Step 2: Convert to fraction form
    985.93/1,478.91 = 498.88/x
  3. Step 3: Cross multiply
    985.93x = 1,478.91 × 498.88
  4. Step 4: Simplify right side
    985.93x = 737,798.62
  5. Step 5: Solve for x
    x = 737,798.62/985.93
  6. Step 6: Final answer
    x = 748.33

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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.