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Finding the Fourth Proportional to 589.46, 882.03 and 575.06

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Solution

The fourth proportional to 589.46, 882.03 and 575.06 is: 860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 882.03 = 575.06 : x
  2. Step 2: Convert to fraction form
    589.46/882.03 = 575.06/x
  3. Step 3: Cross multiply
    589.46x = 882.03 × 575.06
  4. Step 4: Simplify right side
    589.46x = 507,220.17
  5. Step 5: Solve for x
    x = 507,220.17/589.46
  6. Step 6: Final answer
    x = 860.48

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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.