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Finding the Fourth Proportional to 985, 1,474.76 and 813.74

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Solution

The fourth proportional to 985, 1,474.76 and 813.74 is: 1,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    985 : 1,474.76 = 813.74 : x
  2. Step 2: Convert to fraction form
    985/1,474.76 = 813.74/x
  3. Step 3: Cross multiply
    985x = 1,474.76 × 813.74
  4. Step 4: Simplify right side
    985x = 1,200,071.20
  5. Step 5: Solve for x
    x = 1,200,071.20/985
  6. Step 6: Final answer
    x = 1,218.35

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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.