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Finding the Fourth Proportional to 1,406.83, 2,110.71 and 585.49

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Solution

The fourth proportional to 1,406.83, 2,110.71 and 585.49 is: 878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.83 : 2,110.71 = 585.49 : x
  2. Step 2: Convert to fraction form
    1,406.83/2,110.71 = 585.49/x
  3. Step 3: Cross multiply
    1,406.83x = 2,110.71 × 585.49
  4. Step 4: Simplify right side
    1,406.83x = 1,235,799.60
  5. Step 5: Solve for x
    x = 1,235,799.60/1,406.83
  6. Step 6: Final answer
    x = 878.43

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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.