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Finding the Fourth Proportional to 943.64, 1,416.30 and 456.86

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Solution

The fourth proportional to 943.64, 1,416.30 and 456.86 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.64 : 1,416.30 = 456.86 : x
  2. Step 2: Convert to fraction form
    943.64/1,416.30 = 456.86/x
  3. Step 3: Cross multiply
    943.64x = 1,416.30 × 456.86
  4. Step 4: Simplify right side
    943.64x = 647,050.82
  5. Step 5: Solve for x
    x = 647,050.82/943.64
  6. Step 6: Final answer
    x = 685.70

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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.