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Finding the Fourth Proportional to 974.23, 1,462.08 and 714.92

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Solution

The fourth proportional to 974.23, 1,462.08 and 714.92 is: 1,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.23 : 1,462.08 = 714.92 : x
  2. Step 2: Convert to fraction form
    974.23/1,462.08 = 714.92/x
  3. Step 3: Cross multiply
    974.23x = 1,462.08 × 714.92
  4. Step 4: Simplify right side
    974.23x = 1,045,270.23
  5. Step 5: Solve for x
    x = 1,045,270.23/974.23
  6. Step 6: Final answer
    x = 1,072.92

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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.