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Finding the Fourth Proportional to 898.05, 1,239.12 and 543.91

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Solution

The fourth proportional to 898.05, 1,239.12 and 543.91 is: 750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,239.12 = 543.91 : x
  2. Step 2: Convert to fraction form
    898.05/1,239.12 = 543.91/x
  3. Step 3: Cross multiply
    898.05x = 1,239.12 × 543.91
  4. Step 4: Simplify right side
    898.05x = 673,967.03
  5. Step 5: Solve for x
    x = 673,967.03/898.05
  6. Step 6: Final answer
    x = 750.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.