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Finding the Fourth Proportional to 1,011.58, 1,517.38 and 463.62

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Solution

The fourth proportional to 1,011.58, 1,517.38 and 463.62 is: 695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.58 : 1,517.38 = 463.62 : x
  2. Step 2: Convert to fraction form
    1,011.58/1,517.38 = 463.62/x
  3. Step 3: Cross multiply
    1,011.58x = 1,517.38 × 463.62
  4. Step 4: Simplify right side
    1,011.58x = 703,487.72
  5. Step 5: Solve for x
    x = 703,487.72/1,011.58
  6. Step 6: Final answer
    x = 695.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.