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Finding the Fourth Proportional to 589.57, 882.99 and 569.07

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Solution

The fourth proportional to 589.57, 882.99 and 569.07 is: 852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.57 : 882.99 = 569.07 : x
  2. Step 2: Convert to fraction form
    589.57/882.99 = 569.07/x
  3. Step 3: Cross multiply
    589.57x = 882.99 × 569.07
  4. Step 4: Simplify right side
    589.57x = 502,480.27
  5. Step 5: Solve for x
    x = 502,480.27/589.57
  6. Step 6: Final answer
    x = 852.28

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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.