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Finding the Fourth Proportional to 974.19, 1,462.06 and 512.24

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Solution

The fourth proportional to 974.19, 1,462.06 and 512.24 is: 768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,462.06 = 512.24 : x
  2. Step 2: Convert to fraction form
    974.19/1,462.06 = 512.24/x
  3. Step 3: Cross multiply
    974.19x = 1,462.06 × 512.24
  4. Step 4: Simplify right side
    974.19x = 748,925.61
  5. Step 5: Solve for x
    x = 748,925.61/974.19
  6. Step 6: Final answer
    x = 768.77

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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.