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Finding the Fourth Proportional to 1,518.42, 2,276.47 and 696.11

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Solution

The fourth proportional to 1,518.42, 2,276.47 and 696.11 is: 1,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.42 : 2,276.47 = 696.11 : x
  2. Step 2: Convert to fraction form
    1,518.42/2,276.47 = 696.11/x
  3. Step 3: Cross multiply
    1,518.42x = 2,276.47 × 696.11
  4. Step 4: Simplify right side
    1,518.42x = 1,584,663.02
  5. Step 5: Solve for x
    x = 1,584,663.02/1,518.42
  6. Step 6: Final answer
    x = 1,043.62

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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.