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Finding the Fourth Proportional to 867.70, 1,301.19 and 543.10

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Solution

The fourth proportional to 867.70, 1,301.19 and 543.10 is: 814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.70 : 1,301.19 = 543.10 : x
  2. Step 2: Convert to fraction form
    867.70/1,301.19 = 543.10/x
  3. Step 3: Cross multiply
    867.70x = 1,301.19 × 543.10
  4. Step 4: Simplify right side
    867.70x = 706,676.29
  5. Step 5: Solve for x
    x = 706,676.29/867.70
  6. Step 6: Final answer
    x = 814.42

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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.