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Finding the Fourth Proportional to 1,011.92, 1,517.36 and 463.63

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Solution

The fourth proportional to 1,011.92, 1,517.36 and 463.63 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.92 : 1,517.36 = 463.63 : x
  2. Step 2: Convert to fraction form
    1,011.92/1,517.36 = 463.63/x
  3. Step 3: Cross multiply
    1,011.92x = 1,517.36 × 463.63
  4. Step 4: Simplify right side
    1,011.92x = 703,492.96
  5. Step 5: Solve for x
    x = 703,492.96/1,011.92
  6. Step 6: Final answer
    x = 695.21

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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.