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Finding the Fourth Proportional to 974.16, 1,461.79 and 512.35

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Solution

The fourth proportional to 974.16, 1,461.79 and 512.35 is: 768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,461.79 = 512.35 : x
  2. Step 2: Convert to fraction form
    974.16/1,461.79 = 512.35/x
  3. Step 3: Cross multiply
    974.16x = 1,461.79 × 512.35
  4. Step 4: Simplify right side
    974.16x = 748,948.11
  5. Step 5: Solve for x
    x = 748,948.11/974.16
  6. Step 6: Final answer
    x = 768.81

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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.