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Finding the Fourth Proportional to 1,406.30, 2,108.23 and 540

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Solution

The fourth proportional to 1,406.30, 2,108.23 and 540 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.30 : 2,108.23 = 540 : x
  2. Step 2: Convert to fraction form
    1,406.30/2,108.23 = 540/x
  3. Step 3: Cross multiply
    1,406.30x = 2,108.23 × 540
  4. Step 4: Simplify right side
    1,406.30x = 1,138,442.85
  5. Step 5: Solve for x
    x = 1,138,442.85/1,406.30
  6. Step 6: Final answer
    x = 809.53

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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.