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Finding the Fourth Proportional to 1,406.90, 2,109.15 and 540.98

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Solution

The fourth proportional to 1,406.90, 2,109.15 and 540.98 is: 811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.90 : 2,109.15 = 540.98 : x
  2. Step 2: Convert to fraction form
    1,406.90/2,109.15 = 540.98/x
  3. Step 3: Cross multiply
    1,406.90x = 2,109.15 × 540.98
  4. Step 4: Simplify right side
    1,406.90x = 1,141,007.97
  5. Step 5: Solve for x
    x = 1,141,007.97/1,406.90
  6. Step 6: Final answer
    x = 811.01

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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.