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Finding the Fourth Proportional to 1,406.40, 2,108.52 and 541.32

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Solution

The fourth proportional to 1,406.40, 2,108.52 and 541.32 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.40 : 2,108.52 = 541.32 : x
  2. Step 2: Convert to fraction form
    1,406.40/2,108.52 = 541.32/x
  3. Step 3: Cross multiply
    1,406.40x = 2,108.52 × 541.32
  4. Step 4: Simplify right side
    1,406.40x = 1,141,384.05
  5. Step 5: Solve for x
    x = 1,141,384.05/1,406.40
  6. Step 6: Final answer
    x = 811.56

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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.