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Finding the Fourth Proportional to 955.12, 1,430.32 and 543.24

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Solution

The fourth proportional to 955.12, 1,430.32 and 543.24 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.12 : 1,430.32 = 543.24 : x
  2. Step 2: Convert to fraction form
    955.12/1,430.32 = 543.24/x
  3. Step 3: Cross multiply
    955.12x = 1,430.32 × 543.24
  4. Step 4: Simplify right side
    955.12x = 777,007.04
  5. Step 5: Solve for x
    x = 777,007.04/955.12
  6. Step 6: Final answer
    x = 813.52

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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.