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Finding the Fourth Proportional to 1,402.09, 2,103.40 and 477.41

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Solution

The fourth proportional to 1,402.09, 2,103.40 and 477.41 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.09 : 2,103.40 = 477.41 : x
  2. Step 2: Convert to fraction form
    1,402.09/2,103.40 = 477.41/x
  3. Step 3: Cross multiply
    1,402.09x = 2,103.40 × 477.41
  4. Step 4: Simplify right side
    1,402.09x = 1,004,184.19
  5. Step 5: Solve for x
    x = 1,004,184.19/1,402.09
  6. Step 6: Final answer
    x = 716.21

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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.