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Finding the Fourth Proportional to 1,401.69, 2,103.08 and 535.80

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Solution

The fourth proportional to 1,401.69, 2,103.08 and 535.80 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.69 : 2,103.08 = 535.80 : x
  2. Step 2: Convert to fraction form
    1,401.69/2,103.08 = 535.80/x
  3. Step 3: Cross multiply
    1,401.69x = 2,103.08 × 535.80
  4. Step 4: Simplify right side
    1,401.69x = 1,126,830.26
  5. Step 5: Solve for x
    x = 1,126,830.26/1,401.69
  6. Step 6: Final answer
    x = 803.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.