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Finding the Fourth Proportional to 985.82, 1,478.80 and 292.48

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Solution

The fourth proportional to 985.82, 1,478.80 and 292.48 is: 438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,478.80 = 292.48 : x
  2. Step 2: Convert to fraction form
    985.82/1,478.80 = 292.48/x
  3. Step 3: Cross multiply
    985.82x = 1,478.80 × 292.48
  4. Step 4: Simplify right side
    985.82x = 432,519.42
  5. Step 5: Solve for x
    x = 432,519.42/985.82
  6. Step 6: Final answer
    x = 438.74

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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.