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Finding the Fourth Proportional to 1,011.60, 1,517.37 and 463.62

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Solution

The fourth proportional to 1,011.60, 1,517.37 and 463.62 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.60 : 1,517.37 = 463.62 : x
  2. Step 2: Convert to fraction form
    1,011.60/1,517.37 = 463.62/x
  3. Step 3: Cross multiply
    1,011.60x = 1,517.37 × 463.62
  4. Step 4: Simplify right side
    1,011.60x = 703,483.08
  5. Step 5: Solve for x
    x = 703,483.08/1,011.60
  6. Step 6: Final answer
    x = 695.42

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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.