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Finding the Fourth Proportional to 589.12, 882.09 and 569.99

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Solution

The fourth proportional to 589.12, 882.09 and 569.99 is: 853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 882.09 = 569.99 : x
  2. Step 2: Convert to fraction form
    589.12/882.09 = 569.99/x
  3. Step 3: Cross multiply
    589.12x = 882.09 × 569.99
  4. Step 4: Simplify right side
    589.12x = 502,779.72
  5. Step 5: Solve for x
    x = 502,779.72/589.12
  6. Step 6: Final answer
    x = 853.44

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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.