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Finding the Fourth Proportional to 1,406.61, 2,108.09 and 756.59

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Solution

The fourth proportional to 1,406.61, 2,108.09 and 756.59 is: 1,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.61 : 2,108.09 = 756.59 : x
  2. Step 2: Convert to fraction form
    1,406.61/2,108.09 = 756.59/x
  3. Step 3: Cross multiply
    1,406.61x = 2,108.09 × 756.59
  4. Step 4: Simplify right side
    1,406.61x = 1,594,951.16
  5. Step 5: Solve for x
    x = 1,594,951.16/1,406.61
  6. Step 6: Final answer
    x = 1,133.90

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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.