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Finding the Fourth Proportional to 943.52, 1,416.08 and 456.98

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Solution

The fourth proportional to 943.52, 1,416.08 and 456.98 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.52 : 1,416.08 = 456.98 : x
  2. Step 2: Convert to fraction form
    943.52/1,416.08 = 456.98/x
  3. Step 3: Cross multiply
    943.52x = 1,416.08 × 456.98
  4. Step 4: Simplify right side
    943.52x = 647,114.30
  5. Step 5: Solve for x
    x = 647,114.30/943.52
  6. Step 6: Final answer
    x = 685.85

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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.