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Finding the Fourth Proportional to 1,406.80, 2,109.06 and 585.69

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Solution

The fourth proportional to 1,406.80, 2,109.06 and 585.69 is: 878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.80 : 2,109.06 = 585.69 : x
  2. Step 2: Convert to fraction form
    1,406.80/2,109.06 = 585.69/x
  3. Step 3: Cross multiply
    1,406.80x = 2,109.06 × 585.69
  4. Step 4: Simplify right side
    1,406.80x = 1,235,245.25
  5. Step 5: Solve for x
    x = 1,235,245.25/1,406.80
  6. Step 6: Final answer
    x = 878.05

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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.