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Finding the Fourth Proportional to 1,406.34, 2,109.27 and 584.46

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Solution

The fourth proportional to 1,406.34, 2,109.27 and 584.46 is: 876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 2,109.27 = 584.46 : x
  2. Step 2: Convert to fraction form
    1,406.34/2,109.27 = 584.46/x
  3. Step 3: Cross multiply
    1,406.34x = 2,109.27 × 584.46
  4. Step 4: Simplify right side
    1,406.34x = 1,232,783.94
  5. Step 5: Solve for x
    x = 1,232,783.94/1,406.34
  6. Step 6: Final answer
    x = 876.59

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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.