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Finding the Fourth Proportional to 985.68, 1,478.88 and 547.44

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Solution

The fourth proportional to 985.68, 1,478.88 and 547.44 is: 821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,478.88 = 547.44 : x
  2. Step 2: Convert to fraction form
    985.68/1,478.88 = 547.44/x
  3. Step 3: Cross multiply
    985.68x = 1,478.88 × 547.44
  4. Step 4: Simplify right side
    985.68x = 809,598.07
  5. Step 5: Solve for x
    x = 809,598.07/985.68
  6. Step 6: Final answer
    x = 821.36

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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.