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Finding the Fourth Proportional to 1,209.16, 1,813.92 and 559.96

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Solution

The fourth proportional to 1,209.16, 1,813.92 and 559.96 is: 840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.16 : 1,813.92 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,209.16/1,813.92 = 559.96/x
  3. Step 3: Cross multiply
    1,209.16x = 1,813.92 × 559.96
  4. Step 4: Simplify right side
    1,209.16x = 1,015,722.64
  5. Step 5: Solve for x
    x = 1,015,722.64/1,209.16
  6. Step 6: Final answer
    x = 840.02

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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.