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Finding the Fourth Proportional to 1,205.64, 1,809.08 and 589.33

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Solution

The fourth proportional to 1,205.64, 1,809.08 and 589.33 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.64 : 1,809.08 = 589.33 : x
  2. Step 2: Convert to fraction form
    1,205.64/1,809.08 = 589.33/x
  3. Step 3: Cross multiply
    1,205.64x = 1,809.08 × 589.33
  4. Step 4: Simplify right side
    1,205.64x = 1,066,145.12
  5. Step 5: Solve for x
    x = 1,066,145.12/1,205.64
  6. Step 6: Final answer
    x = 884.30

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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.