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Finding the Fourth Proportional to 1,205.67, 1,805.67 and 589.80

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Solution

The fourth proportional to 1,205.67, 1,805.67 and 589.80 is: 883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.67 : 1,805.67 = 589.80 : x
  2. Step 2: Convert to fraction form
    1,205.67/1,805.67 = 589.80/x
  3. Step 3: Cross multiply
    1,205.67x = 1,805.67 × 589.80
  4. Step 4: Simplify right side
    1,205.67x = 1,064,984.17
  5. Step 5: Solve for x
    x = 1,064,984.17/1,205.67
  6. Step 6: Final answer
    x = 883.31

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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.