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Finding the Fourth Proportional to 1,406.57, 2,110.61 and 585.43

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Solution

The fourth proportional to 1,406.57, 2,110.61 and 585.43 is: 878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.57 : 2,110.61 = 585.43 : x
  2. Step 2: Convert to fraction form
    1,406.57/2,110.61 = 585.43/x
  3. Step 3: Cross multiply
    1,406.57x = 2,110.61 × 585.43
  4. Step 4: Simplify right side
    1,406.57x = 1,235,607.31
  5. Step 5: Solve for x
    x = 1,235,607.31/1,406.57
  6. Step 6: Final answer
    x = 878.46

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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.