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Finding the Fourth Proportional to 589.12, 882.60 and 507.04

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Solution

The fourth proportional to 589.12, 882.60 and 507.04 is: 759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 882.60 = 507.04 : x
  2. Step 2: Convert to fraction form
    589.12/882.60 = 507.04/x
  3. Step 3: Cross multiply
    589.12x = 882.60 × 507.04
  4. Step 4: Simplify right side
    589.12x = 447,513.50
  5. Step 5: Solve for x
    x = 447,513.50/589.12
  6. Step 6: Final answer
    x = 759.63

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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.