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Finding the Fourth Proportional to 1,405.88, 2,109.70 and 540.28

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Solution

The fourth proportional to 1,405.88, 2,109.70 and 540.28 is: 810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.88 : 2,109.70 = 540.28 : x
  2. Step 2: Convert to fraction form
    1,405.88/2,109.70 = 540.28/x
  3. Step 3: Cross multiply
    1,405.88x = 2,109.70 × 540.28
  4. Step 4: Simplify right side
    1,405.88x = 1,139,828.72
  5. Step 5: Solve for x
    x = 1,139,828.72/1,405.88
  6. Step 6: Final answer
    x = 810.76

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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.