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Finding the Fourth Proportional to 1,402.11, 2,102.98 and 477.63

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Solution

The fourth proportional to 1,402.11, 2,102.98 and 477.63 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.11 : 2,102.98 = 477.63 : x
  2. Step 2: Convert to fraction form
    1,402.11/2,102.98 = 477.63/x
  3. Step 3: Cross multiply
    1,402.11x = 2,102.98 × 477.63
  4. Step 4: Simplify right side
    1,402.11x = 1,004,446.34
  5. Step 5: Solve for x
    x = 1,004,446.34/1,402.11
  6. Step 6: Final answer
    x = 716.38

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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.