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Finding the Fourth Proportional to 955.34, 1,430.45 and 543.86

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Solution

The fourth proportional to 955.34, 1,430.45 and 543.86 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.34 : 1,430.45 = 543.86 : x
  2. Step 2: Convert to fraction form
    955.34/1,430.45 = 543.86/x
  3. Step 3: Cross multiply
    955.34x = 1,430.45 × 543.86
  4. Step 4: Simplify right side
    955.34x = 777,964.54
  5. Step 5: Solve for x
    x = 777,964.54/955.34
  6. Step 6: Final answer
    x = 814.33

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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.