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Finding the Fourth Proportional to 945.85, 1,416.72 and 457.88

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Solution

The fourth proportional to 945.85, 1,416.72 and 457.88 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.85 : 1,416.72 = 457.88 : x
  2. Step 2: Convert to fraction form
    945.85/1,416.72 = 457.88/x
  3. Step 3: Cross multiply
    945.85x = 1,416.72 × 457.88
  4. Step 4: Simplify right side
    945.85x = 648,680.67
  5. Step 5: Solve for x
    x = 648,680.67/945.85
  6. Step 6: Final answer
    x = 685.82

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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.