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Finding the Fourth Proportional to 1,468.14, 2,026.01 and 804.99

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Solution

The fourth proportional to 1,468.14, 2,026.01 and 804.99 is: 1,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.14 : 2,026.01 = 804.99 : x
  2. Step 2: Convert to fraction form
    1,468.14/2,026.01 = 804.99/x
  3. Step 3: Cross multiply
    1,468.14x = 2,026.01 × 804.99
  4. Step 4: Simplify right side
    1,468.14x = 1,630,903.63
  5. Step 5: Solve for x
    x = 1,630,903.63/1,468.14
  6. Step 6: Final answer
    x = 1,110.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.