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Finding the Fourth Proportional to 953.75, 1,429.41 and 543.08

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Solution

The fourth proportional to 953.75, 1,429.41 and 543.08 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.75 : 1,429.41 = 543.08 : x
  2. Step 2: Convert to fraction form
    953.75/1,429.41 = 543.08/x
  3. Step 3: Cross multiply
    953.75x = 1,429.41 × 543.08
  4. Step 4: Simplify right side
    953.75x = 776,283.98
  5. Step 5: Solve for x
    x = 776,283.98/953.75
  6. Step 6: Final answer
    x = 813.93

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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.