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Finding the Fourth Proportional to 1,405.06, 2,107.43 and 538.76

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Solution

The fourth proportional to 1,405.06, 2,107.43 and 538.76 is: 808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.06 : 2,107.43 = 538.76 : x
  2. Step 2: Convert to fraction form
    1,405.06/2,107.43 = 538.76/x
  3. Step 3: Cross multiply
    1,405.06x = 2,107.43 × 538.76
  4. Step 4: Simplify right side
    1,405.06x = 1,135,398.99
  5. Step 5: Solve for x
    x = 1,135,398.99/1,405.06
  6. Step 6: Final answer
    x = 808.08

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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.