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Finding the Fourth Proportional to 1,700.99, 2,550.53 and 589.89

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Solution

The fourth proportional to 1,700.99, 2,550.53 and 589.89 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.99 : 2,550.53 = 589.89 : x
  2. Step 2: Convert to fraction form
    1,700.99/2,550.53 = 589.89/x
  3. Step 3: Cross multiply
    1,700.99x = 2,550.53 × 589.89
  4. Step 4: Simplify right side
    1,700.99x = 1,504,532.14
  5. Step 5: Solve for x
    x = 1,504,532.14/1,700.99
  6. Step 6: Final answer
    x = 884.50

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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.