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Finding the Fourth Proportional to 985.94, 1,478.55 and 336.50

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Solution

The fourth proportional to 985.94, 1,478.55 and 336.50 is: 504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.94 : 1,478.55 = 336.50 : x
  2. Step 2: Convert to fraction form
    985.94/1,478.55 = 336.50/x
  3. Step 3: Cross multiply
    985.94x = 1,478.55 × 336.50
  4. Step 4: Simplify right side
    985.94x = 497,532.08
  5. Step 5: Solve for x
    x = 497,532.08/985.94
  6. Step 6: Final answer
    x = 504.63

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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.